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Simplifying 4(-3x + 5) = 7(2x + 3) Reorder the terms: 4(5 + -3x) = 7(2x + 3) (5 * 4 + -3x * 4) = 7(2x + 3) (20 + -12x) = 7(2x + 3) Reorder the terms: 20 + -12x = 7(3 + 2x) 20 + -12x = (3 * 7 + 2x * 7) 20 + -12x = (21 + 14x) Solving 20 + -12x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 20 + -12x + -14x = 21 + 14x + -14x Combine like terms: -12x + -14x = -26x 20 + -26x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 20 + -26x = 21 + 0 20 + -26x = 21 Add '-20' to each side of the equation. 20 + -20 + -26x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + -26x = 21 + -20 -26x = 21 + -20 Combine like terms: 21 + -20 = 1 -26x = 1 Divide each side by '-26'. x = -0.03846153846 Simplifying x = -0.03846153846
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