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