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Simplifying 3(2x + 5) = 4(5x + 7) Reorder the terms: 3(5 + 2x) = 4(5x + 7) (5 * 3 + 2x * 3) = 4(5x + 7) (15 + 6x) = 4(5x + 7) Reorder the terms: 15 + 6x = 4(7 + 5x) 15 + 6x = (7 * 4 + 5x * 4) 15 + 6x = (28 + 20x) Solving 15 + 6x = 28 + 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. 15 + 6x + -20x = 28 + 20x + -20x Combine like terms: 6x + -20x = -14x 15 + -14x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + -14x = 28 + 0 15 + -14x = 28 Add '-15' to each side of the equation. 15 + -15 + -14x = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 28 + -15 -14x = 28 + -15 Combine like terms: 28 + -15 = 13 -14x = 13 Divide each side by '-14'. x = -0.9285714286 Simplifying x = -0.9285714286
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