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Simplifying 3(6x + -5) = 5(9 + -4x) Reorder the terms: 3(-5 + 6x) = 5(9 + -4x) (-5 * 3 + 6x * 3) = 5(9 + -4x) (-15 + 18x) = 5(9 + -4x) -15 + 18x = (9 * 5 + -4x * 5) -15 + 18x = (45 + -20x) Solving -15 + 18x = 45 + -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 + 18x + 20x = 45 + -20x + 20x Combine like terms: 18x + 20x = 38x -15 + 38x = 45 + -20x + 20x Combine like terms: -20x + 20x = 0 -15 + 38x = 45 + 0 -15 + 38x = 45 Add '15' to each side of the equation. -15 + 15 + 38x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 38x = 45 + 15 38x = 45 + 15 Combine like terms: 45 + 15 = 60 38x = 60 Divide each side by '38'. x = 1.578947368 Simplifying x = 1.578947368
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