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Simplifying 2(x + -1) = -7(2 + x) + 6x Reorder the terms: 2(-1 + x) = -7(2 + x) + 6x (-1 * 2 + x * 2) = -7(2 + x) + 6x (-2 + 2x) = -7(2 + x) + 6x -2 + 2x = (2 * -7 + x * -7) + 6x -2 + 2x = (-14 + -7x) + 6x Combine like terms: -7x + 6x = -1x -2 + 2x = -14 + -1x Solving -2 + 2x = -14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 2x + x = -14 + -1x + x Combine like terms: 2x + x = 3x -2 + 3x = -14 + -1x + x Combine like terms: -1x + x = 0 -2 + 3x = -14 + 0 -2 + 3x = -14 Add '2' to each side of the equation. -2 + 2 + 3x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -14 + 2 3x = -14 + 2 Combine like terms: -14 + 2 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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