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Simplifying -1(x + 1) = 2(3x + -1) Reorder the terms: -1(1 + x) = 2(3x + -1) (1 * -1 + x * -1) = 2(3x + -1) (-1 + -1x) = 2(3x + -1) Reorder the terms: -1 + -1x = 2(-1 + 3x) -1 + -1x = (-1 * 2 + 3x * 2) -1 + -1x = (-2 + 6x) Solving -1 + -1x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -1x + -6x = -2 + 6x + -6x Combine like terms: -1x + -6x = -7x -1 + -7x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -7x = -2 + 0 -1 + -7x = -2 Add '1' to each side of the equation. -1 + 1 + -7x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = -2 + 1 -7x = -2 + 1 Combine like terms: -2 + 1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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