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Simplifying 2(x + 8) = -1(x + 5) Reorder the terms: 2(8 + x) = -1(x + 5) (8 * 2 + x * 2) = -1(x + 5) (16 + 2x) = -1(x + 5) Reorder the terms: 16 + 2x = -1(5 + x) 16 + 2x = (5 * -1 + x * -1) 16 + 2x = (-5 + -1x) Solving 16 + 2x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 16 + 2x + x = -5 + -1x + x Combine like terms: 2x + x = 3x 16 + 3x = -5 + -1x + x Combine like terms: -1x + x = 0 16 + 3x = -5 + 0 16 + 3x = -5 Add '-16' to each side of the equation. 16 + -16 + 3x = -5 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = -5 + -16 3x = -5 + -16 Combine like terms: -5 + -16 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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