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Simplifying 12(x + -8) = 3(12x + 4) Reorder the terms: 12(-8 + x) = 3(12x + 4) (-8 * 12 + x * 12) = 3(12x + 4) (-96 + 12x) = 3(12x + 4) Reorder the terms: -96 + 12x = 3(4 + 12x) -96 + 12x = (4 * 3 + 12x * 3) -96 + 12x = (12 + 36x) Solving -96 + 12x = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -96 + 12x + -36x = 12 + 36x + -36x Combine like terms: 12x + -36x = -24x -96 + -24x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -96 + -24x = 12 + 0 -96 + -24x = 12 Add '96' to each side of the equation. -96 + 96 + -24x = 12 + 96 Combine like terms: -96 + 96 = 0 0 + -24x = 12 + 96 -24x = 12 + 96 Combine like terms: 12 + 96 = 108 -24x = 108 Divide each side by '-24'. x = -4.5 Simplifying x = -4.5
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