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Simplifying -2(x + -12) = -2(4x + -3) Reorder the terms: -2(-12 + x) = -2(4x + -3) (-12 * -2 + x * -2) = -2(4x + -3) (24 + -2x) = -2(4x + -3) Reorder the terms: 24 + -2x = -2(-3 + 4x) 24 + -2x = (-3 * -2 + 4x * -2) 24 + -2x = (6 + -8x) Solving 24 + -2x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + -2x + 8x = 6 + -8x + 8x Combine like terms: -2x + 8x = 6x 24 + 6x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 6x = 6 + 0 24 + 6x = 6 Add '-24' to each side of the equation. 24 + -24 + 6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 6 + -24 6x = 6 + -24 Combine like terms: 6 + -24 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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