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Simplifying (X + -2) + -2(x + -1) = x + -1 + -1(x + -5) Reorder the terms: (-2 + X) + -2(x + -1) = x + -1 + -1(x + -5) Remove parenthesis around (-2 + X) -2 + X + -2(x + -1) = x + -1 + -1(x + -5) Reorder the terms: -2 + X + -2(-1 + x) = x + -1 + -1(x + -5) -2 + X + (-1 * -2 + x * -2) = x + -1 + -1(x + -5) -2 + X + (2 + -2x) = x + -1 + -1(x + -5) Reorder the terms: -2 + 2 + X + -2x = x + -1 + -1(x + -5) Combine like terms: -2 + 2 = 0 0 + X + -2x = x + -1 + -1(x + -5) X + -2x = x + -1 + -1(x + -5) Reorder the terms: X + -2x = x + -1 + -1(-5 + x) X + -2x = x + -1 + (-5 * -1 + x * -1) X + -2x = x + -1 + (5 + -1x) Reorder the terms: X + -2x = -1 + 5 + x + -1x Combine like terms: -1 + 5 = 4 X + -2x = 4 + x + -1x Combine like terms: x + -1x = 0 X + -2x = 4 + 0 X + -2x = 4 Solving X + -2x = 4 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. X + -2x + 2x = 4 + 2x Combine like terms: -2x + 2x = 0 X + 0 = 4 + 2x X = 4 + 2x Simplifying X = 4 + 2x
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