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Simplifying 4x + -1(2x + -1) + x = 2x + -1(2x + x) + -1x Reorder the terms: 4x + -1(-1 + 2x) + x = 2x + -1(2x + x) + -1x 4x + (-1 * -1 + 2x * -1) + x = 2x + -1(2x + x) + -1x 4x + (1 + -2x) + x = 2x + -1(2x + x) + -1x Reorder the terms: 1 + 4x + -2x + x = 2x + -1(2x + x) + -1x Combine like terms: 4x + -2x = 2x 1 + 2x + x = 2x + -1(2x + x) + -1x Combine like terms: 2x + x = 3x 1 + 3x = 2x + -1(2x + x) + -1x Combine like terms: 2x + x = 3x 1 + 3x = 2x + -1(3x) + -1x Remove parenthesis around (3x) 1 + 3x = 2x + -1 * 3x + -1x Multiply -1 * 3 1 + 3x = 2x + -3x + -1x Combine like terms: 2x + -3x = -1x 1 + 3x = -1x + -1x Combine like terms: -1x + -1x = -2x 1 + 3x = -2x Solving 1 + 3x = -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. 1 + 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = 0 Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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