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Simplifying 9(2x + 2) = 6(9x + 6) Reorder the terms: 9(2 + 2x) = 6(9x + 6) (2 * 9 + 2x * 9) = 6(9x + 6) (18 + 18x) = 6(9x + 6) Reorder the terms: 18 + 18x = 6(6 + 9x) 18 + 18x = (6 * 6 + 9x * 6) 18 + 18x = (36 + 54x) Solving 18 + 18x = 36 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 18 + 18x + -54x = 36 + 54x + -54x Combine like terms: 18x + -54x = -36x 18 + -36x = 36 + 54x + -54x Combine like terms: 54x + -54x = 0 18 + -36x = 36 + 0 18 + -36x = 36 Add '-18' to each side of the equation. 18 + -18 + -36x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -36x = 36 + -18 -36x = 36 + -18 Combine like terms: 36 + -18 = 18 -36x = 18 Divide each side by '-36'. x = -0.5 Simplifying x = -0.5
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