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Simplifying 8(x + 1) = 7(x + -1) Reorder the terms: 8(1 + x) = 7(x + -1) (1 * 8 + x * 8) = 7(x + -1) (8 + 8x) = 7(x + -1) Reorder the terms: 8 + 8x = 7(-1 + x) 8 + 8x = (-1 * 7 + x * 7) 8 + 8x = (-7 + 7x) Solving 8 + 8x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 8x + -7x = -7 + 7x + -7x Combine like terms: 8x + -7x = 1x 8 + 1x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 1x = -7 + 0 8 + 1x = -7 Add '-8' to each side of the equation. 8 + -8 + 1x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -7 + -8 1x = -7 + -8 Combine like terms: -7 + -8 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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