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Simplifying -0.20(x + -12) + 0.5(x + 2) = x + 15 Reorder the terms: -0.20(-12 + x) + 0.5(x + 2) = x + 15 (-12 * -0.20 + x * -0.20) + 0.5(x + 2) = x + 15 (2.4 + -0.20x) + 0.5(x + 2) = x + 15 Reorder the terms: 2.4 + -0.20x + 0.5(2 + x) = x + 15 2.4 + -0.20x + (2 * 0.5 + x * 0.5) = x + 15 2.4 + -0.20x + (1 + 0.5x) = x + 15 Reorder the terms: 2.4 + 1 + -0.20x + 0.5x = x + 15 Combine like terms: 2.4 + 1 = 3.4 3.4 + -0.20x + 0.5x = x + 15 Combine like terms: -0.20x + 0.5x = 0.3x 3.4 + 0.3x = x + 15 Reorder the terms: 3.4 + 0.3x = 15 + x Solving 3.4 + 0.3x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.4 + 0.3x + -1x = 15 + x + -1x Combine like terms: 0.3x + -1x = -0.7x 3.4 + -0.7x = 15 + x + -1x Combine like terms: x + -1x = 0 3.4 + -0.7x = 15 + 0 3.4 + -0.7x = 15 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -0.7x = 15 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -0.7x = 15 + -3.4 -0.7x = 15 + -3.4 Combine like terms: 15 + -3.4 = 11.6 -0.7x = 11.6 Divide each side by '-0.7'. x = -16.57142857 Simplifying x = -16.57142857
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