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Simplifying -2x + -1(x + 1) + -1(x + -2) + x = -6 Reorder the terms: -2x + -1(1 + x) + -1(x + -2) + x = -6 -2x + (1 * -1 + x * -1) + -1(x + -2) + x = -6 -2x + (-1 + -1x) + -1(x + -2) + x = -6 Reorder the terms: -2x + -1 + -1x + -1(-2 + x) + x = -6 -2x + -1 + -1x + (-2 * -1 + x * -1) + x = -6 -2x + -1 + -1x + (2 + -1x) + x = -6 Reorder the terms: -1 + 2 + -2x + -1x + -1x + x = -6 Combine like terms: -1 + 2 = 1 1 + -2x + -1x + -1x + x = -6 Combine like terms: -2x + -1x = -3x 1 + -3x + -1x + x = -6 Combine like terms: -3x + -1x = -4x 1 + -4x + x = -6 Combine like terms: -4x + x = -3x 1 + -3x = -6 Solving 1 + -3x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -6 + -1 -3x = -6 + -1 Combine like terms: -6 + -1 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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