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Simplifying -1(x + 5) = 5(1 + -2x) Reorder the terms: -1(5 + x) = 5(1 + -2x) (5 * -1 + x * -1) = 5(1 + -2x) (-5 + -1x) = 5(1 + -2x) -5 + -1x = (1 * 5 + -2x * 5) -5 + -1x = (5 + -10x) Solving -5 + -1x = 5 + -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 = 5 + -10x + 10x Combine like terms: -1x + 10x = 9x -5 + 9x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 9x = 5 + 0 -5 + 9x = 5 Add '5' to each side of the equation. -5 + 5 + 9x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 5 + 5 9x = 5 + 5 Combine like terms: 5 + 5 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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