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Simplifying (x + -5) + -1(2x + -4) = -8 Reorder the terms: (-5 + x) + -1(2x + -4) = -8 Remove parenthesis around (-5 + x) -5 + x + -1(2x + -4) = -8 Reorder the terms: -5 + x + -1(-4 + 2x) = -8 -5 + x + (-4 * -1 + 2x * -1) = -8 -5 + x + (4 + -2x) = -8 Reorder the terms: -5 + 4 + x + -2x = -8 Combine like terms: -5 + 4 = -1 -1 + x + -2x = -8 Combine like terms: x + -2x = -1x -1 + -1x = -8 Solving -1 + -1x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -8 + 1 -1x = -8 + 1 Combine like terms: -8 + 1 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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