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