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Simplifying 1 + -2(8x + -8) = -9(x + 1) + 1 Reorder the terms: 1 + -2(-8 + 8x) = -9(x + 1) + 1 1 + (-8 * -2 + 8x * -2) = -9(x + 1) + 1 1 + (16 + -16x) = -9(x + 1) + 1 Combine like terms: 1 + 16 = 17 17 + -16x = -9(x + 1) + 1 Reorder the terms: 17 + -16x = -9(1 + x) + 1 17 + -16x = (1 * -9 + x * -9) + 1 17 + -16x = (-9 + -9x) + 1 Reorder the terms: 17 + -16x = -9 + 1 + -9x Combine like terms: -9 + 1 = -8 17 + -16x = -8 + -9x Solving 17 + -16x = -8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 17 + -16x + 9x = -8 + -9x + 9x Combine like terms: -16x + 9x = -7x 17 + -7x = -8 + -9x + 9x Combine like terms: -9x + 9x = 0 17 + -7x = -8 + 0 17 + -7x = -8 Add '-17' to each side of the equation. 17 + -17 + -7x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = -8 + -17 -7x = -8 + -17 Combine like terms: -8 + -17 = -25 -7x = -25 Divide each side by '-7'. x = 3.571428571 Simplifying x = 3.571428571
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