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Simplifying 3(3x + 1) + -2(4x + -1) = 0 Reorder the terms: 3(1 + 3x) + -2(4x + -1) = 0 (1 * 3 + 3x * 3) + -2(4x + -1) = 0 (3 + 9x) + -2(4x + -1) = 0 Reorder the terms: 3 + 9x + -2(-1 + 4x) = 0 3 + 9x + (-1 * -2 + 4x * -2) = 0 3 + 9x + (2 + -8x) = 0 Reorder the terms: 3 + 2 + 9x + -8x = 0 Combine like terms: 3 + 2 = 5 5 + 9x + -8x = 0 Combine like terms: 9x + -8x = 1x 5 + 1x = 0 Solving 5 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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