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Simplifying 6(6 + x) = 8(9 + x) (6 * 6 + x * 6) = 8(9 + x) (36 + 6x) = 8(9 + x) 36 + 6x = (9 * 8 + x * 8) 36 + 6x = (72 + 8x) Solving 36 + 6x = 72 + 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 + 6x + -8x = 72 + 8x + -8x Combine like terms: 6x + -8x = -2x 36 + -2x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + -2x = 72 + 0 36 + -2x = 72 Add '-36' to each side of the equation. 36 + -36 + -2x = 72 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 72 + -36 -2x = 72 + -36 Combine like terms: 72 + -36 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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