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Simplifying -12(3x + 8) + -12x = 3(4 + -7x) Reorder the terms: -12(8 + 3x) + -12x = 3(4 + -7x) (8 * -12 + 3x * -12) + -12x = 3(4 + -7x) (-96 + -36x) + -12x = 3(4 + -7x) Combine like terms: -36x + -12x = -48x -96 + -48x = 3(4 + -7x) -96 + -48x = (4 * 3 + -7x * 3) -96 + -48x = (12 + -21x) Solving -96 + -48x = 12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -96 + -48x + 21x = 12 + -21x + 21x Combine like terms: -48x + 21x = -27x -96 + -27x = 12 + -21x + 21x Combine like terms: -21x + 21x = 0 -96 + -27x = 12 + 0 -96 + -27x = 12 Add '96' to each side of the equation. -96 + 96 + -27x = 12 + 96 Combine like terms: -96 + 96 = 0 0 + -27x = 12 + 96 -27x = 12 + 96 Combine like terms: 12 + 96 = 108 -27x = 108 Divide each side by '-27'. x = -4 Simplifying x = -4
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