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Simplifying (x + -2) + -2(x + 1) = x + 1(x + -6) Reorder the terms: (-2 + x) + -2(x + 1) = x + 1(x + -6) Remove parenthesis around (-2 + x) -2 + x + -2(x + 1) = x + 1(x + -6) Reorder the terms: -2 + x + -2(1 + x) = x + 1(x + -6) -2 + x + (1 * -2 + x * -2) = x + 1(x + -6) -2 + x + (-2 + -2x) = x + 1(x + -6) Reorder the terms: -2 + -2 + x + -2x = x + 1(x + -6) Combine like terms: -2 + -2 = -4 -4 + x + -2x = x + 1(x + -6) Combine like terms: x + -2x = -1x -4 + -1x = x + 1(x + -6) Reorder the terms: -4 + -1x = x + 1(-6 + x) -4 + -1x = x + (-6 * 1 + x * 1) -4 + -1x = x + (-6 + 1x) Reorder the terms: -4 + -1x = -6 + x + 1x Combine like terms: x + 1x = 2x -4 + -1x = -6 + 2x Solving -4 + -1x = -6 + 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. -4 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = -6 + 0 -4 + -3x = -6 Add '4' to each side of the equation. -4 + 4 + -3x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -6 + 4 -3x = -6 + 4 Combine like terms: -6 + 4 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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