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Simplifying 3(x + 8) + -1(x + -4) = 12 Reorder the terms: 3(8 + x) + -1(x + -4) = 12 (8 * 3 + x * 3) + -1(x + -4) = 12 (24 + 3x) + -1(x + -4) = 12 Reorder the terms: 24 + 3x + -1(-4 + x) = 12 24 + 3x + (-4 * -1 + x * -1) = 12 24 + 3x + (4 + -1x) = 12 Reorder the terms: 24 + 4 + 3x + -1x = 12 Combine like terms: 24 + 4 = 28 28 + 3x + -1x = 12 Combine like terms: 3x + -1x = 2x 28 + 2x = 12 Solving 28 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 12 + -28 2x = 12 + -28 Combine like terms: 12 + -28 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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