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Simplifying 3(3x + 4) + -2 = 2(2x + 5) + -1x Reorder the terms: 3(4 + 3x) + -2 = 2(2x + 5) + -1x (4 * 3 + 3x * 3) + -2 = 2(2x + 5) + -1x (12 + 9x) + -2 = 2(2x + 5) + -1x Reorder the terms: 12 + -2 + 9x = 2(2x + 5) + -1x Combine like terms: 12 + -2 = 10 10 + 9x = 2(2x + 5) + -1x Reorder the terms: 10 + 9x = 2(5 + 2x) + -1x 10 + 9x = (5 * 2 + 2x * 2) + -1x 10 + 9x = (10 + 4x) + -1x Combine like terms: 4x + -1x = 3x 10 + 9x = 10 + 3x Add '-10' to each side of the equation. 10 + -10 + 9x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 9x = 10 + -10 + 3x 9x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 9x = 0 + 3x 9x = 3x Solving 9x = 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. 9x + -3x = 3x + -3x Combine like terms: 9x + -3x = 6x 6x = 3x + -3x Combine like terms: 3x + -3x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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