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Simplifying 12(3x + 4) + -5(2x + -2) = 16x + -12 Reorder the terms: 12(4 + 3x) + -5(2x + -2) = 16x + -12 (4 * 12 + 3x * 12) + -5(2x + -2) = 16x + -12 (48 + 36x) + -5(2x + -2) = 16x + -12 Reorder the terms: 48 + 36x + -5(-2 + 2x) = 16x + -12 48 + 36x + (-2 * -5 + 2x * -5) = 16x + -12 48 + 36x + (10 + -10x) = 16x + -12 Reorder the terms: 48 + 10 + 36x + -10x = 16x + -12 Combine like terms: 48 + 10 = 58 58 + 36x + -10x = 16x + -12 Combine like terms: 36x + -10x = 26x 58 + 26x = 16x + -12 Reorder the terms: 58 + 26x = -12 + 16x Solving 58 + 26x = -12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 58 + 26x + -16x = -12 + 16x + -16x Combine like terms: 26x + -16x = 10x 58 + 10x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 58 + 10x = -12 + 0 58 + 10x = -12 Add '-58' to each side of the equation. 58 + -58 + 10x = -12 + -58 Combine like terms: 58 + -58 = 0 0 + 10x = -12 + -58 10x = -12 + -58 Combine like terms: -12 + -58 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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