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Simplifying 4x + -1(2x + -1) + x = 2x + -1(2 + x) + -1x Reorder the terms: 4x + -1(-1 + 2x) + x = 2x + -1(2 + x) + -1x 4x + (-1 * -1 + 2x * -1) + x = 2x + -1(2 + x) + -1x 4x + (1 + -2x) + x = 2x + -1(2 + x) + -1x Reorder the terms: 1 + 4x + -2x + x = 2x + -1(2 + x) + -1x Combine like terms: 4x + -2x = 2x 1 + 2x + x = 2x + -1(2 + x) + -1x Combine like terms: 2x + x = 3x 1 + 3x = 2x + -1(2 + x) + -1x 1 + 3x = 2x + (2 * -1 + x * -1) + -1x 1 + 3x = 2x + (-2 + -1x) + -1x Reorder the terms: 1 + 3x = -2 + 2x + -1x + -1x Combine like terms: 2x + -1x = 1x 1 + 3x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 3x = -2 + 0 1 + 3x = -2 Solving 1 + 3x = -2 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 = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -2 + -1 3x = -2 + -1 Combine like terms: -2 + -1 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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