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Simplifying 3(6x + -6) = 4(9 + -9x) Reorder the terms: 3(-6 + 6x) = 4(9 + -9x) (-6 * 3 + 6x * 3) = 4(9 + -9x) (-18 + 18x) = 4(9 + -9x) -18 + 18x = (9 * 4 + -9x * 4) -18 + 18x = (36 + -36x) Solving -18 + 18x = 36 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -18 + 18x + 36x = 36 + -36x + 36x Combine like terms: 18x + 36x = 54x -18 + 54x = 36 + -36x + 36x Combine like terms: -36x + 36x = 0 -18 + 54x = 36 + 0 -18 + 54x = 36 Add '18' to each side of the equation. -18 + 18 + 54x = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 54x = 36 + 18 54x = 36 + 18 Combine like terms: 36 + 18 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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