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Simplifying -3(2x + -5) + -2(4x + 3) = 0 Reorder the terms: -3(-5 + 2x) + -2(4x + 3) = 0 (-5 * -3 + 2x * -3) + -2(4x + 3) = 0 (15 + -6x) + -2(4x + 3) = 0 Reorder the terms: 15 + -6x + -2(3 + 4x) = 0 15 + -6x + (3 * -2 + 4x * -2) = 0 15 + -6x + (-6 + -8x) = 0 Reorder the terms: 15 + -6 + -6x + -8x = 0 Combine like terms: 15 + -6 = 9 9 + -6x + -8x = 0 Combine like terms: -6x + -8x = -14x 9 + -14x = 0 Solving 9 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14x = 0 + -9 -14x = 0 + -9 Combine like terms: 0 + -9 = -9 -14x = -9 Divide each side by '-14'. x = 0.6428571429 Simplifying x = 0.6428571429
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