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Simplifying 3(4x + 4) = 2(5x + 9) + -12 Reorder the terms: 3(4 + 4x) = 2(5x + 9) + -12 (4 * 3 + 4x * 3) = 2(5x + 9) + -12 (12 + 12x) = 2(5x + 9) + -12 Reorder the terms: 12 + 12x = 2(9 + 5x) + -12 12 + 12x = (9 * 2 + 5x * 2) + -12 12 + 12x = (18 + 10x) + -12 Reorder the terms: 12 + 12x = 18 + -12 + 10x Combine like terms: 18 + -12 = 6 12 + 12x = 6 + 10x Solving 12 + 12x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 12x + -10x = 6 + 10x + -10x Combine like terms: 12x + -10x = 2x 12 + 2x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 2x = 6 + 0 12 + 2x = 6 Add '-12' to each side of the equation. 12 + -12 + 2x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 6 + -12 2x = 6 + -12 Combine like terms: 6 + -12 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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