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Simplifying 8[2 + -1(4 + -4x)] + -2x = -18 + 2(1 + -17x) 8[2 + (4 * -1 + -4x * -1)] + -2x = -18 + 2(1 + -17x) 8[2 + (-4 + 4x)] + -2x = -18 + 2(1 + -17x) Combine like terms: 2 + -4 = -2 8[-2 + 4x] + -2x = -18 + 2(1 + -17x) [-2 * 8 + 4x * 8] + -2x = -18 + 2(1 + -17x) [-16 + 32x] + -2x = -18 + 2(1 + -17x) Combine like terms: 32x + -2x = 30x -16 + 30x = -18 + 2(1 + -17x) -16 + 30x = -18 + (1 * 2 + -17x * 2) -16 + 30x = -18 + (2 + -34x) Combine like terms: -18 + 2 = -16 -16 + 30x = -16 + -34x Add '16' to each side of the equation. -16 + 16 + 30x = -16 + 16 + -34x Combine like terms: -16 + 16 = 0 0 + 30x = -16 + 16 + -34x 30x = -16 + 16 + -34x Combine like terms: -16 + 16 = 0 30x = 0 + -34x 30x = -34x Solving 30x = -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 30x + 34x = -34x + 34x Combine like terms: 30x + 34x = 64x 64x = -34x + 34x Combine like terms: -34x + 34x = 0 64x = 0 Divide each side by '64'. x = 0 Simplifying x = 0
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