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Simplifying 0.2(10x + -15) = 0.25(12x + -8) Reorder the terms: 0.2(-15 + 10x) = 0.25(12x + -8) (-15 * 0.2 + 10x * 0.2) = 0.25(12x + -8) (-3 + 2x) = 0.25(12x + -8) Reorder the terms: -3 + 2x = 0.25(-8 + 12x) -3 + 2x = (-8 * 0.25 + 12x * 0.25) -3 + 2x = (-2 + 3x) Solving -3 + 2x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 2x + -3x = -2 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -2 + 0 -3 + -1x = -2 Add '3' to each side of the equation. -3 + 3 + -1x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -2 + 3 -1x = -2 + 3 Combine like terms: -2 + 3 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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