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Simplifying (X + -2) + -2(x + -1) = (x + 1) + -1(x + -6) Reorder the terms: (-2 + X) + -2(x + -1) = (x + 1) + -1(x + -6) Remove parenthesis around (-2 + X) -2 + X + -2(x + -1) = (x + 1) + -1(x + -6) Reorder the terms: -2 + X + -2(-1 + x) = (x + 1) + -1(x + -6) -2 + X + (-1 * -2 + x * -2) = (x + 1) + -1(x + -6) -2 + X + (2 + -2x) = (x + 1) + -1(x + -6) Reorder the terms: -2 + 2 + X + -2x = (x + 1) + -1(x + -6) Combine like terms: -2 + 2 = 0 0 + X + -2x = (x + 1) + -1(x + -6) X + -2x = (x + 1) + -1(x + -6) Reorder the terms: X + -2x = (1 + x) + -1(x + -6) Remove parenthesis around (1 + x) X + -2x = 1 + x + -1(x + -6) Reorder the terms: X + -2x = 1 + x + -1(-6 + x) X + -2x = 1 + x + (-6 * -1 + x * -1) X + -2x = 1 + x + (6 + -1x) Reorder the terms: X + -2x = 1 + 6 + x + -1x Combine like terms: 1 + 6 = 7 X + -2x = 7 + x + -1x Combine like terms: x + -1x = 0 X + -2x = 7 + 0 X + -2x = 7 Solving X + -2x = 7 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 = 7 + 2x Combine like terms: -2x + 2x = 0 X + 0 = 7 + 2x X = 7 + 2x Simplifying X = 7 + 2x
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