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Simplifying 4(x + 12) = -2(x + -6) Reorder the terms: 4(12 + x) = -2(x + -6) (12 * 4 + x * 4) = -2(x + -6) (48 + 4x) = -2(x + -6) Reorder the terms: 48 + 4x = -2(-6 + x) 48 + 4x = (-6 * -2 + x * -2) 48 + 4x = (12 + -2x) Solving 48 + 4x = 12 + -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. 48 + 4x + 2x = 12 + -2x + 2x Combine like terms: 4x + 2x = 6x 48 + 6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 6x = 12 + 0 48 + 6x = 12 Add '-48' to each side of the equation. 48 + -48 + 6x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 12 + -48 6x = 12 + -48 Combine like terms: 12 + -48 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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