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Simplifying -0.08(50) + 0.40 = 0.20(50 + x) Multiply -0.08 * 50 -4 + 0.40 = 0.20(50 + x) Combine like terms: -4 + 0.40 = -3.6 -3.6 = 0.20(50 + x) -3.6 = (50 * 0.20 + x * 0.20) -3.6 = (10 + 0.20x) Solving -3.6 = 10 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. -3.6 + -0.20x = 10 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -3.6 + -0.20x = 10 + 0.00 -3.6 + -0.20x = 10 Add '3.6' to each side of the equation. -3.6 + 3.6 + -0.20x = 10 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -0.20x = 10 + 3.6 -0.20x = 10 + 3.6 Combine like terms: 10 + 3.6 = 13.6 -0.20x = 13.6 Divide each side by '-0.20'. x = -68 Simplifying x = -68
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