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