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Simplifying 3(x + 12) = 2(4 + -2x) Reorder the terms: 3(12 + x) = 2(4 + -2x) (12 * 3 + x * 3) = 2(4 + -2x) (36 + 3x) = 2(4 + -2x) 36 + 3x = (4 * 2 + -2x * 2) 36 + 3x = (8 + -4x) Solving 36 + 3x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x 36 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 7x = 8 + 0 36 + 7x = 8 Add '-36' to each side of the equation. 36 + -36 + 7x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 8 + -36 7x = 8 + -36 Combine like terms: 8 + -36 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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