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Simplifying 9(4 + x) = 8(5 + x) (4 * 9 + x * 9) = 8(5 + x) (36 + 9x) = 8(5 + x) 36 + 9x = (5 * 8 + x * 8) 36 + 9x = (40 + 8x) Solving 36 + 9x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 36 + 9x + -8x = 40 + 8x + -8x Combine like terms: 9x + -8x = 1x 36 + 1x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + 1x = 40 + 0 36 + 1x = 40 Add '-36' to each side of the equation. 36 + -36 + 1x = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 40 + -36 1x = 40 + -36 Combine like terms: 40 + -36 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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