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Simplifying 8x + 9 = 32(5 + 2x) Reorder the terms: 9 + 8x = 32(5 + 2x) 9 + 8x = (5 * 32 + 2x * 32) 9 + 8x = (160 + 64x) Solving 9 + 8x = 160 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 9 + 8x + -64x = 160 + 64x + -64x Combine like terms: 8x + -64x = -56x 9 + -56x = 160 + 64x + -64x Combine like terms: 64x + -64x = 0 9 + -56x = 160 + 0 9 + -56x = 160 Add '-9' to each side of the equation. 9 + -9 + -56x = 160 + -9 Combine like terms: 9 + -9 = 0 0 + -56x = 160 + -9 -56x = 160 + -9 Combine like terms: 160 + -9 = 151 -56x = 151 Divide each side by '-56'. x = -2.696428571 Simplifying x = -2.696428571
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