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Simplifying -7(x + 1) + 1 = -14 + -8x Reorder the terms: -7(1 + x) + 1 = -14 + -8x (1 * -7 + x * -7) + 1 = -14 + -8x (-7 + -7x) + 1 = -14 + -8x Reorder the terms: -7 + 1 + -7x = -14 + -8x Combine like terms: -7 + 1 = -6 -6 + -7x = -14 + -8x Solving -6 + -7x = -14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + -7x + 8x = -14 + -8x + 8x Combine like terms: -7x + 8x = 1x -6 + 1x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 1x = -14 + 0 -6 + 1x = -14 Add '6' to each side of the equation. -6 + 6 + 1x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -14 + 6 1x = -14 + 6 Combine like terms: -14 + 6 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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