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Simplifying 4x + 32(2 + -1x) = 8 + -2x 4x + (2 * 32 + -1x * 32) = 8 + -2x 4x + (64 + -32x) = 8 + -2x Reorder the terms: 64 + 4x + -32x = 8 + -2x Combine like terms: 4x + -32x = -28x 64 + -28x = 8 + -2x Solving 64 + -28x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 64 + -28x + 2x = 8 + -2x + 2x Combine like terms: -28x + 2x = -26x 64 + -26x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 64 + -26x = 8 + 0 64 + -26x = 8 Add '-64' to each side of the equation. 64 + -64 + -26x = 8 + -64 Combine like terms: 64 + -64 = 0 0 + -26x = 8 + -64 -26x = 8 + -64 Combine like terms: 8 + -64 = -56 -26x = -56 Divide each side by '-26'. x = 2.153846154 Simplifying x = 2.153846154
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