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Simplifying 3(3x + -6) = 25(2 + -1x) Reorder the terms: 3(-6 + 3x) = 25(2 + -1x) (-6 * 3 + 3x * 3) = 25(2 + -1x) (-18 + 9x) = 25(2 + -1x) -18 + 9x = (2 * 25 + -1x * 25) -18 + 9x = (50 + -25x) Solving -18 + 9x = 50 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -18 + 9x + 25x = 50 + -25x + 25x Combine like terms: 9x + 25x = 34x -18 + 34x = 50 + -25x + 25x Combine like terms: -25x + 25x = 0 -18 + 34x = 50 + 0 -18 + 34x = 50 Add '18' to each side of the equation. -18 + 18 + 34x = 50 + 18 Combine like terms: -18 + 18 = 0 0 + 34x = 50 + 18 34x = 50 + 18 Combine like terms: 50 + 18 = 68 34x = 68 Divide each side by '34'. x = 2 Simplifying x = 2
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