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Simplifying 2(4 + -1x) = -1(x + 5) (4 * 2 + -1x * 2) = -1(x + 5) (8 + -2x) = -1(x + 5) Reorder the terms: 8 + -2x = -1(5 + x) 8 + -2x = (5 * -1 + x * -1) 8 + -2x = (-5 + -1x) Solving 8 + -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. 8 + -2x + x = -5 + -1x + x Combine like terms: -2x + x = -1x 8 + -1x = -5 + -1x + x Combine like terms: -1x + x = 0 8 + -1x = -5 + 0 8 + -1x = -5 Add '-8' to each side of the equation. 8 + -8 + -1x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -5 + -8 -1x = -5 + -8 Combine like terms: -5 + -8 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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