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Simplifying -0.2(50) + 0.8x = 0.3(50 + x) Multiply -0.2 * 50 -10 + 0.8x = 0.3(50 + x) -10 + 0.8x = (50 * 0.3 + x * 0.3) -10 + 0.8x = (15 + 0.3x) Solving -10 + 0.8x = 15 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -10 + 0.8x + -0.3x = 15 + 0.3x + -0.3x Combine like terms: 0.8x + -0.3x = 0.5x -10 + 0.5x = 15 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -10 + 0.5x = 15 + 0.0 -10 + 0.5x = 15 Add '10' to each side of the equation. -10 + 10 + 0.5x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 0.5x = 15 + 10 0.5x = 15 + 10 Combine like terms: 15 + 10 = 25 0.5x = 25 Divide each side by '0.5'. x = 50 Simplifying x = 50
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