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Simplifying -1(5 + -1x) = 2(5x + 8) (5 * -1 + -1x * -1) = 2(5x + 8) (-5 + 1x) = 2(5x + 8) Reorder the terms: -5 + 1x = 2(8 + 5x) -5 + 1x = (8 * 2 + 5x * 2) -5 + 1x = (16 + 10x) Solving -5 + 1x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 1x + -10x = 16 + 10x + -10x Combine like terms: 1x + -10x = -9x -5 + -9x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -9x = 16 + 0 -5 + -9x = 16 Add '5' to each side of the equation. -5 + 5 + -9x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 16 + 5 -9x = 16 + 5 Combine like terms: 16 + 5 = 21 -9x = 21 Divide each side by '-9'. x = -2.333333333 Simplifying x = -2.333333333
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