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Simplifying 3(2 + -3x) + -1(4 + 5x) = 0 (2 * 3 + -3x * 3) + -1(4 + 5x) = 0 (6 + -9x) + -1(4 + 5x) = 0 6 + -9x + (4 * -1 + 5x * -1) = 0 6 + -9x + (-4 + -5x) = 0 Reorder the terms: 6 + -4 + -9x + -5x = 0 Combine like terms: 6 + -4 = 2 2 + -9x + -5x = 0 Combine like terms: -9x + -5x = -14x 2 + -14x = 0 Solving 2 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -14x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = 0 + -2 -14x = 0 + -2 Combine like terms: 0 + -2 = -2 -14x = -2 Divide each side by '-14'. x = 0.1428571429 Simplifying x = 0.1428571429
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