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Simplifying 0.2(x + -8) = 0.5(15 + -1x) Reorder the terms: 0.2(-8 + x) = 0.5(15 + -1x) (-8 * 0.2 + x * 0.2) = 0.5(15 + -1x) (-1.6 + 0.2x) = 0.5(15 + -1x) -1.6 + 0.2x = (15 * 0.5 + -1x * 0.5) -1.6 + 0.2x = (7.5 + -0.5x) Solving -1.6 + 0.2x = 7.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -1.6 + 0.2x + 0.5x = 7.5 + -0.5x + 0.5x Combine like terms: 0.2x + 0.5x = 0.7x -1.6 + 0.7x = 7.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1.6 + 0.7x = 7.5 + 0.0 -1.6 + 0.7x = 7.5 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.7x = 7.5 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.7x = 7.5 + 1.6 0.7x = 7.5 + 1.6 Combine like terms: 7.5 + 1.6 = 9.1 0.7x = 9.1 Divide each side by '0.7'. x = 13 Simplifying x = 13
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