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