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Simplifying 3(2x + 12) = -2(x + -4) + 4 Reorder the terms: 3(12 + 2x) = -2(x + -4) + 4 (12 * 3 + 2x * 3) = -2(x + -4) + 4 (36 + 6x) = -2(x + -4) + 4 Reorder the terms: 36 + 6x = -2(-4 + x) + 4 36 + 6x = (-4 * -2 + x * -2) + 4 36 + 6x = (8 + -2x) + 4 Reorder the terms: 36 + 6x = 8 + 4 + -2x Combine like terms: 8 + 4 = 12 36 + 6x = 12 + -2x Solving 36 + 6x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 36 + 6x + 2x = 12 + -2x + 2x Combine like terms: 6x + 2x = 8x 36 + 8x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 8x = 12 + 0 36 + 8x = 12 Add '-36' to each side of the equation. 36 + -36 + 8x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 12 + -36 8x = 12 + -36 Combine like terms: 12 + -36 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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