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