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Simplifying -3(2x + -3) = 5(4x + -1) + 14 Reorder the terms: -3(-3 + 2x) = 5(4x + -1) + 14 (-3 * -3 + 2x * -3) = 5(4x + -1) + 14 (9 + -6x) = 5(4x + -1) + 14 Reorder the terms: 9 + -6x = 5(-1 + 4x) + 14 9 + -6x = (-1 * 5 + 4x * 5) + 14 9 + -6x = (-5 + 20x) + 14 Reorder the terms: 9 + -6x = -5 + 14 + 20x Combine like terms: -5 + 14 = 9 9 + -6x = 9 + 20x Add '-9' to each side of the equation. 9 + -9 + -6x = 9 + -9 + 20x Combine like terms: 9 + -9 = 0 0 + -6x = 9 + -9 + 20x -6x = 9 + -9 + 20x Combine like terms: 9 + -9 = 0 -6x = 0 + 20x -6x = 20x Solving -6x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6x + -20x = 20x + -20x Combine like terms: -6x + -20x = -26x -26x = 20x + -20x Combine like terms: 20x + -20x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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