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