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Simplifying 3(2x + -6) = 5(4x + 3) Reorder the terms: 3(-6 + 2x) = 5(4x + 3) (-6 * 3 + 2x * 3) = 5(4x + 3) (-18 + 6x) = 5(4x + 3) Reorder the terms: -18 + 6x = 5(3 + 4x) -18 + 6x = (3 * 5 + 4x * 5) -18 + 6x = (15 + 20x) Solving -18 + 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. -18 + 6x + -20x = 15 + 20x + -20x Combine like terms: 6x + -20x = -14x -18 + -14x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 -18 + -14x = 15 + 0 -18 + -14x = 15 Add '18' to each side of the equation. -18 + 18 + -14x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + -14x = 15 + 18 -14x = 15 + 18 Combine like terms: 15 + 18 = 33 -14x = 33 Divide each side by '-14'. x = -2.357142857 Simplifying x = -2.357142857
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