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Simplifying -2(x + -1) = 2(3x + -7) Reorder the terms: -2(-1 + x) = 2(3x + -7) (-1 * -2 + x * -2) = 2(3x + -7) (2 + -2x) = 2(3x + -7) Reorder the terms: 2 + -2x = 2(-7 + 3x) 2 + -2x = (-7 * 2 + 3x * 2) 2 + -2x = (-14 + 6x) Solving 2 + -2x = -14 + 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. 2 + -2x + -6x = -14 + 6x + -6x Combine like terms: -2x + -6x = -8x 2 + -8x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -8x = -14 + 0 2 + -8x = -14 Add '-2' to each side of the equation. 2 + -2 + -8x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -14 + -2 -8x = -14 + -2 Combine like terms: -14 + -2 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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