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Simplifying [x + -1(3x + 1)] = 2(2x + -1) Reorder the terms: [x + -1(1 + 3x)] = 2(2x + -1) [x + (1 * -1 + 3x * -1)] = 2(2x + -1) [x + (-1 + -3x)] = 2(2x + -1) Reorder the terms: [-1 + x + -3x] = 2(2x + -1) Combine like terms: x + -3x = -2x [-1 + -2x] = 2(2x + -1) Remove brackets around [-1 + -2x] -1 + -2x = 2(2x + -1) Reorder the terms: -1 + -2x = 2(-1 + 2x) -1 + -2x = (-1 * 2 + 2x * 2) -1 + -2x = (-2 + 4x) Solving -1 + -2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -2x + -4x = -2 + 4x + -4x Combine like terms: -2x + -4x = -6x -1 + -6x = -2 + 4x + -4x Combine like terms: 4x + -4x = 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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