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Simplifying x + -1(5x + -1) = 3x + (-1x + 2) Reorder the terms: x + -1(-1 + 5x) = 3x + (-1x + 2) x + (-1 * -1 + 5x * -1) = 3x + (-1x + 2) x + (1 + -5x) = 3x + (-1x + 2) Reorder the terms: 1 + x + -5x = 3x + (-1x + 2) Combine like terms: x + -5x = -4x 1 + -4x = 3x + (-1x + 2) Reorder the terms: 1 + -4x = 3x + (2 + -1x) Remove parenthesis around (2 + -1x) 1 + -4x = 3x + 2 + -1x Reorder the terms: 1 + -4x = 2 + 3x + -1x Combine like terms: 3x + -1x = 2x 1 + -4x = 2 + 2x Solving 1 + -4x = 2 + 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 + -4x + -2x = 2 + 2x + -2x Combine like terms: -4x + -2x = -6x 1 + -6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -6x = 2 + 0 1 + -6x = 2 Add '-1' to each side of the equation. 1 + -1 + -6x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 2 + -1 -6x = 2 + -1 Combine like terms: 2 + -1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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