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Simplifying -2x + 12(1 + -2x) = 8(-6 + -4x) -2x + (1 * 12 + -2x * 12) = 8(-6 + -4x) -2x + (12 + -24x) = 8(-6 + -4x) Reorder the terms: 12 + -2x + -24x = 8(-6 + -4x) Combine like terms: -2x + -24x = -26x 12 + -26x = 8(-6 + -4x) 12 + -26x = (-6 * 8 + -4x * 8) 12 + -26x = (-48 + -32x) Solving 12 + -26x = -48 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 12 + -26x + 32x = -48 + -32x + 32x Combine like terms: -26x + 32x = 6x 12 + 6x = -48 + -32x + 32x Combine like terms: -32x + 32x = 0 12 + 6x = -48 + 0 12 + 6x = -48 Add '-12' to each side of the equation. 12 + -12 + 6x = -48 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -48 + -12 6x = -48 + -12 Combine like terms: -48 + -12 = -60 6x = -60 Divide each side by '6'. x = -10 Simplifying x = -10
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