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Simplifying (X + -2) + -2(x + -1) = 1 + -1(x + -3) Reorder the terms: (-2 + X) + -2(x + -1) = 1 + -1(x + -3) Remove parenthesis around (-2 + X) -2 + X + -2(x + -1) = 1 + -1(x + -3) Reorder the terms: -2 + X + -2(-1 + x) = 1 + -1(x + -3) -2 + X + (-1 * -2 + x * -2) = 1 + -1(x + -3) -2 + X + (2 + -2x) = 1 + -1(x + -3) Reorder the terms: -2 + 2 + X + -2x = 1 + -1(x + -3) Combine like terms: -2 + 2 = 0 0 + X + -2x = 1 + -1(x + -3) X + -2x = 1 + -1(x + -3) Reorder the terms: X + -2x = 1 + -1(-3 + x) X + -2x = 1 + (-3 * -1 + x * -1) X + -2x = 1 + (3 + -1x) Combine like terms: 1 + 3 = 4 X + -2x = 4 + -1x Solving X + -2x = 4 + -1x 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 + -1x + 2x Combine like terms: -2x + 2x = 0 X + 0 = 4 + -1x + 2x X = 4 + -1x + 2x Combine like terms: -1x + 2x = 1x X = 4 + 1x Simplifying X = 4 + 1x
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