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Simplifying 8(x + 1) = 7 + -2(8x + 8) Reorder the terms: 8(1 + x) = 7 + -2(8x + 8) (1 * 8 + x * 8) = 7 + -2(8x + 8) (8 + 8x) = 7 + -2(8x + 8) Reorder the terms: 8 + 8x = 7 + -2(8 + 8x) 8 + 8x = 7 + (8 * -2 + 8x * -2) 8 + 8x = 7 + (-16 + -16x) Combine like terms: 7 + -16 = -9 8 + 8x = -9 + -16x Solving 8 + 8x = -9 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 8 + 8x + 16x = -9 + -16x + 16x Combine like terms: 8x + 16x = 24x 8 + 24x = -9 + -16x + 16x Combine like terms: -16x + 16x = 0 8 + 24x = -9 + 0 8 + 24x = -9 Add '-8' to each side of the equation. 8 + -8 + 24x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = -9 + -8 24x = -9 + -8 Combine like terms: -9 + -8 = -17 24x = -17 Divide each side by '24'. x = -0.7083333333 Simplifying x = -0.7083333333
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