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Simplifying 2(3x + -3) = 3(-2x + 2) Reorder the terms: 2(-3 + 3x) = 3(-2x + 2) (-3 * 2 + 3x * 2) = 3(-2x + 2) (-6 + 6x) = 3(-2x + 2) Reorder the terms: -6 + 6x = 3(2 + -2x) -6 + 6x = (2 * 3 + -2x * 3) -6 + 6x = (6 + -6x) Solving -6 + 6x = 6 + -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. -6 + 6x + 6x = 6 + -6x + 6x Combine like terms: 6x + 6x = 12x -6 + 12x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 12x = 6 + 0 -6 + 12x = 6 Add '6' to each side of the equation. -6 + 6 + 12x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 6 + 6 12x = 6 + 6 Combine like terms: 6 + 6 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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