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Simplifying 8(x + 5) = 5(8 + -9x) Reorder the terms: 8(5 + x) = 5(8 + -9x) (5 * 8 + x * 8) = 5(8 + -9x) (40 + 8x) = 5(8 + -9x) 40 + 8x = (8 * 5 + -9x * 5) 40 + 8x = (40 + -45x) Add '-40' to each side of the equation. 40 + -40 + 8x = 40 + -40 + -45x Combine like terms: 40 + -40 = 0 0 + 8x = 40 + -40 + -45x 8x = 40 + -40 + -45x Combine like terms: 40 + -40 = 0 8x = 0 + -45x 8x = -45x Solving 8x = -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 8x + 45x = -45x + 45x Combine like terms: 8x + 45x = 53x 53x = -45x + 45x Combine like terms: -45x + 45x = 0 53x = 0 Divide each side by '53'. x = 0 Simplifying x = 0
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