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Simplifying 4(5 + -2x) + -3(1 + -2x) = 32x (5 * 4 + -2x * 4) + -3(1 + -2x) = 32x (20 + -8x) + -3(1 + -2x) = 32x 20 + -8x + (1 * -3 + -2x * -3) = 32x 20 + -8x + (-3 + 6x) = 32x Reorder the terms: 20 + -3 + -8x + 6x = 32x Combine like terms: 20 + -3 = 17 17 + -8x + 6x = 32x Combine like terms: -8x + 6x = -2x 17 + -2x = 32x Solving 17 + -2x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 17 + -2x + -32x = 32x + -32x Combine like terms: -2x + -32x = -34x 17 + -34x = 32x + -32x Combine like terms: 32x + -32x = 0 17 + -34x = 0 Add '-17' to each side of the equation. 17 + -17 + -34x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -34x = 0 + -17 -34x = 0 + -17 Combine like terms: 0 + -17 = -17 -34x = -17 Divide each side by '-34'. x = 0.5 Simplifying x = 0.5
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