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Simplifying 8(x + 8) = 9(x + 5) Reorder the terms: 8(8 + x) = 9(x + 5) (8 * 8 + x * 8) = 9(x + 5) (64 + 8x) = 9(x + 5) Reorder the terms: 64 + 8x = 9(5 + x) 64 + 8x = (5 * 9 + x * 9) 64 + 8x = (45 + 9x) Solving 64 + 8x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 64 + 8x + -9x = 45 + 9x + -9x Combine like terms: 8x + -9x = -1x 64 + -1x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 64 + -1x = 45 + 0 64 + -1x = 45 Add '-64' to each side of the equation. 64 + -64 + -1x = 45 + -64 Combine like terms: 64 + -64 = 0 0 + -1x = 45 + -64 -1x = 45 + -64 Combine like terms: 45 + -64 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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