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Simplifying 12(x + 4) = -12(x + 8) Reorder the terms: 12(4 + x) = -12(x + 8) (4 * 12 + x * 12) = -12(x + 8) (48 + 12x) = -12(x + 8) Reorder the terms: 48 + 12x = -12(8 + x) 48 + 12x = (8 * -12 + x * -12) 48 + 12x = (-96 + -12x) Solving 48 + 12x = -96 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 48 + 12x + 12x = -96 + -12x + 12x Combine like terms: 12x + 12x = 24x 48 + 24x = -96 + -12x + 12x Combine like terms: -12x + 12x = 0 48 + 24x = -96 + 0 48 + 24x = -96 Add '-48' to each side of the equation. 48 + -48 + 24x = -96 + -48 Combine like terms: 48 + -48 = 0 0 + 24x = -96 + -48 24x = -96 + -48 Combine like terms: -96 + -48 = -144 24x = -144 Divide each side by '24'. x = -6 Simplifying x = -6
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