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Simplifying 8(3 + -8x) + -2(1 + 2x) = -46 (3 * 8 + -8x * 8) + -2(1 + 2x) = -46 (24 + -64x) + -2(1 + 2x) = -46 24 + -64x + (1 * -2 + 2x * -2) = -46 24 + -64x + (-2 + -4x) = -46 Reorder the terms: 24 + -2 + -64x + -4x = -46 Combine like terms: 24 + -2 = 22 22 + -64x + -4x = -46 Combine like terms: -64x + -4x = -68x 22 + -68x = -46 Solving 22 + -68x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -68x = -46 + -22 Combine like terms: 22 + -22 = 0 0 + -68x = -46 + -22 -68x = -46 + -22 Combine like terms: -46 + -22 = -68 -68x = -68 Divide each side by '-68'. x = 1 Simplifying x = 1
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