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Simplifying 12(-2 + -1x) = 15(1x + -8) (-2 * 12 + -1x * 12) = 15(1x + -8) (-24 + -12x) = 15(1x + -8) Reorder the terms: -24 + -12x = 15(-8 + 1x) -24 + -12x = (-8 * 15 + 1x * 15) -24 + -12x = (-120 + 15x) Solving -24 + -12x = -120 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -24 + -12x + -15x = -120 + 15x + -15x Combine like terms: -12x + -15x = -27x -24 + -27x = -120 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + -27x = -120 + 0 -24 + -27x = -120 Add '24' to each side of the equation. -24 + 24 + -27x = -120 + 24 Combine like terms: -24 + 24 = 0 0 + -27x = -120 + 24 -27x = -120 + 24 Combine like terms: -120 + 24 = -96 -27x = -96 Divide each side by '-27'. x = 3.555555556 Simplifying x = 3.555555556
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