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Simplifying 3(2x + -3) = 3(5 + -2x) Reorder the terms: 3(-3 + 2x) = 3(5 + -2x) (-3 * 3 + 2x * 3) = 3(5 + -2x) (-9 + 6x) = 3(5 + -2x) -9 + 6x = (5 * 3 + -2x * 3) -9 + 6x = (15 + -6x) Solving -9 + 6x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + 6x + 6x = 15 + -6x + 6x Combine like terms: 6x + 6x = 12x -9 + 12x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 12x = 15 + 0 -9 + 12x = 15 Add '9' to each side of the equation. -9 + 9 + 12x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 15 + 9 12x = 15 + 9 Combine like terms: 15 + 9 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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