Le total est : x + 3x + (3x + 200 000) = 7x + 200 000 = 2 400 000.
["Title: Solving the Equation: How to Simplify and Solve x + 3x + (3x + 200,000) = 2,400,000", "---", "Meta Description:\nLearn how to solve the equation x + 3x + (3x + 200,000) = 2,400,000 step-by-step. Discover the logic behind simplifying linear expressions and find the value of x that satisfies this real-world-style algebraic problem.", "---", "### Understanding a Key Algebraic Equation", "Mathematics often presents compound expressions that seem complex at first glance but can be simplified using basic algebraic principles. One such expression is:", "[\nx + 3x + (3x + 200,000) = 2,400,000\n]", "At first, this equation may look intimidating, but breaking it down step by step reveals its structure and enables a clear solution.", "---", "### Step-by-Step Simplification", "Step 1: Remove Parentheses\nThe expression includes parentheses, so start by removing them without changing their value:", "[\nx + 3x + 3x + 200,000 = 2,400,000\n]", "Step 2: Combine Like Terms\nNow combine all terms with x:", "- ( x + 3x + 3x = (1 + 3 + 3)x = 7x )", "So the equation simplifies to:", "[\n7x + 200,000 = 2,400,000\n]", "Step 3: Isolate the Variable Term\nSubtract 200,000 from both sides to isolate the term with x:", "[\n7x = 2,400,000 - 200,000\n]\n[\n7x = 2,200,000\n]", "Step 4: Solve for x\nDivide both sides by 7:", "[\nx = \frac{2,200,000}{7}\n]\n[\nx = 314,285.\overline{714285}\n]", "Rounded to five decimal places, ( x \approx 314,285.71 ).", "---", "### Real-World Context of the Equation", "This type of equation often models real-life scenarios, such as budgeting, sales projections, or investment growth. For example, suppose a business:", "- Starts with a base income of $200,000,\n- Earns additional revenue equal to x,\n- Then gains three times that amount from another source,\n- And the total revenue reaches $2,400,000.", "The equation models how the variable x directly influences the total — reinforcing the importance of solving for x to predict outcomes.", "---", "### Summary", "- The expression simplifies to a linear equation in standard form:\n [\n 7x + 200,000 = 2,400,000\n ]\n- Solving step-by-step yields:\n [\n x = \frac{2,200,000}{7} \approx 314,285.71\n ]", "Understanding how to simplify and solve such equations strengthens problem-solving skills essential in mathematics, finance, and data analysis.", "---", "### Key Takeaways", "- Combine like terms to simplify expressions.\n- Isolate variables through inverse operations.\n- Translate word problems into algebraic equations for clarity.\n- Use numerical checks to verify your solution.", "---", "Call to Action:\nMastering equations like this empowers you to tackle complex problems across science, engineering, and economics. Practice simplifying expressions daily, and gradually build your confidence in solving real-world algebraic challenges!", "---", "Keywords: solve linear equation, simplify algebra, step-by-step equation solving, x + 3x + (3x + 200000) = 2400000, algebraic simplification, algebra tutorial, real-world math applications"]
