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