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Simplifying 9(2x + -2) = 52 + 2(1 + -9x) Reorder the terms: 9(-2 + 2x) = 52 + 2(1 + -9x) (-2 * 9 + 2x * 9) = 52 + 2(1 + -9x) (-18 + 18x) = 52 + 2(1 + -9x) -18 + 18x = 52 + (1 * 2 + -9x * 2) -18 + 18x = 52 + (2 + -18x) Combine like terms: 52 + 2 = 54 -18 + 18x = 54 + -18x Solving -18 + 18x = 54 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -18 + 18x + 18x = 54 + -18x + 18x Combine like terms: 18x + 18x = 36x -18 + 36x = 54 + -18x + 18x Combine like terms: -18x + 18x = 0 -18 + 36x = 54 + 0 -18 + 36x = 54 Add '18' to each side of the equation. -18 + 18 + 36x = 54 + 18 Combine like terms: -18 + 18 = 0 0 + 36x = 54 + 18 36x = 54 + 18 Combine like terms: 54 + 18 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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