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Simplifying (3x + -6) * 3 = 2(5 + -1x) Reorder the terms: (-6 + 3x) * 3 = 2(5 + -1x) Reorder the terms for easier multiplication: 3(-6 + 3x) = 2(5 + -1x) (-6 * 3 + 3x * 3) = 2(5 + -1x) (-18 + 9x) = 2(5 + -1x) -18 + 9x = (5 * 2 + -1x * 2) -18 + 9x = (10 + -2x) Solving -18 + 9x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 9x + 2x = 10 + -2x + 2x Combine like terms: 9x + 2x = 11x -18 + 11x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 11x = 10 + 0 -18 + 11x = 10 Add '18' to each side of the equation. -18 + 18 + 11x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 10 + 18 11x = 10 + 18 Combine like terms: 10 + 18 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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