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Simplifying 3(2x + -1) = 5(4x + 3) Reorder the terms: 3(-1 + 2x) = 5(4x + 3) (-1 * 3 + 2x * 3) = 5(4x + 3) (-3 + 6x) = 5(4x + 3) Reorder the terms: -3 + 6x = 5(3 + 4x) -3 + 6x = (3 * 5 + 4x * 5) -3 + 6x = (15 + 20x) Solving -3 + 6x = 15 + 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. -3 + 6x + -20x = 15 + 20x + -20x Combine like terms: 6x + -20x = -14x -3 + -14x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + -14x = 15 + 0 -3 + -14x = 15 Add '3' to each side of the equation. -3 + 3 + -14x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = 15 + 3 -14x = 15 + 3 Combine like terms: 15 + 3 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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