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Simplifying 3(x + 12) + 5(x + 4) = -64 Reorder the terms: 3(12 + x) + 5(x + 4) = -64 (12 * 3 + x * 3) + 5(x + 4) = -64 (36 + 3x) + 5(x + 4) = -64 Reorder the terms: 36 + 3x + 5(4 + x) = -64 36 + 3x + (4 * 5 + x * 5) = -64 36 + 3x + (20 + 5x) = -64 Reorder the terms: 36 + 20 + 3x + 5x = -64 Combine like terms: 36 + 20 = 56 56 + 3x + 5x = -64 Combine like terms: 3x + 5x = 8x 56 + 8x = -64 Solving 56 + 8x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 8x = -64 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = -64 + -56 8x = -64 + -56 Combine like terms: -64 + -56 = -120 8x = -120 Divide each side by '8'. x = -15 Simplifying x = -15
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