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Simplifying 5(3 + -4x) + 14x = 7(2 + -5x) (3 * 5 + -4x * 5) + 14x = 7(2 + -5x) (15 + -20x) + 14x = 7(2 + -5x) Combine like terms: -20x + 14x = -6x 15 + -6x = 7(2 + -5x) 15 + -6x = (2 * 7 + -5x * 7) 15 + -6x = (14 + -35x) Solving 15 + -6x = 14 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 15 + -6x + 35x = 14 + -35x + 35x Combine like terms: -6x + 35x = 29x 15 + 29x = 14 + -35x + 35x Combine like terms: -35x + 35x = 0 15 + 29x = 14 + 0 15 + 29x = 14 Add '-15' to each side of the equation. 15 + -15 + 29x = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 29x = 14 + -15 29x = 14 + -15 Combine like terms: 14 + -15 = -1 29x = -1 Divide each side by '29'. x = -0.03448275862 Simplifying x = -0.03448275862
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