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Simplifying 9(6 + x) = 8(3 + x) (6 * 9 + x * 9) = 8(3 + x) (54 + 9x) = 8(3 + x) 54 + 9x = (3 * 8 + x * 8) 54 + 9x = (24 + 8x) Solving 54 + 9x = 24 + 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. 54 + 9x + -8x = 24 + 8x + -8x Combine like terms: 9x + -8x = 1x 54 + 1x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 54 + 1x = 24 + 0 54 + 1x = 24 Add '-54' to each side of the equation. 54 + -54 + 1x = 24 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 24 + -54 1x = 24 + -54 Combine like terms: 24 + -54 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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