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Simplifying 8(x + 13) = 9(x + 10) Reorder the terms: 8(13 + x) = 9(x + 10) (13 * 8 + x * 8) = 9(x + 10) (104 + 8x) = 9(x + 10) Reorder the terms: 104 + 8x = 9(10 + x) 104 + 8x = (10 * 9 + x * 9) 104 + 8x = (90 + 9x) Solving 104 + 8x = 90 + 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. 104 + 8x + -9x = 90 + 9x + -9x Combine like terms: 8x + -9x = -1x 104 + -1x = 90 + 9x + -9x Combine like terms: 9x + -9x = 0 104 + -1x = 90 + 0 104 + -1x = 90 Add '-104' to each side of the equation. 104 + -104 + -1x = 90 + -104 Combine like terms: 104 + -104 = 0 0 + -1x = 90 + -104 -1x = 90 + -104 Combine like terms: 90 + -104 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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