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Simplifying 7 + -7(x + -1) = -1(-8x + 1) Reorder the terms: 7 + -7(-1 + x) = -1(-8x + 1) 7 + (-1 * -7 + x * -7) = -1(-8x + 1) 7 + (7 + -7x) = -1(-8x + 1) Combine like terms: 7 + 7 = 14 14 + -7x = -1(-8x + 1) Reorder the terms: 14 + -7x = -1(1 + -8x) 14 + -7x = (1 * -1 + -8x * -1) 14 + -7x = (-1 + 8x) Solving 14 + -7x = -1 + 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. 14 + -7x + -8x = -1 + 8x + -8x Combine like terms: -7x + -8x = -15x 14 + -15x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -15x = -1 + 0 14 + -15x = -1 Add '-14' to each side of the equation. 14 + -14 + -15x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = -1 + -14 -15x = -1 + -14 Combine like terms: -1 + -14 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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