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Simplifying -12(x + -4) = -3(6x + 2) Reorder the terms: -12(-4 + x) = -3(6x + 2) (-4 * -12 + x * -12) = -3(6x + 2) (48 + -12x) = -3(6x + 2) Reorder the terms: 48 + -12x = -3(2 + 6x) 48 + -12x = (2 * -3 + 6x * -3) 48 + -12x = (-6 + -18x) Solving 48 + -12x = -6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 48 + -12x + 18x = -6 + -18x + 18x Combine like terms: -12x + 18x = 6x 48 + 6x = -6 + -18x + 18x Combine like terms: -18x + 18x = 0 48 + 6x = -6 + 0 48 + 6x = -6 Add '-48' to each side of the equation. 48 + -48 + 6x = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = -6 + -48 6x = -6 + -48 Combine like terms: -6 + -48 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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