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