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Simplifying 3(3x + -5) = 4(5x + -6) Reorder the terms: 3(-5 + 3x) = 4(5x + -6) (-5 * 3 + 3x * 3) = 4(5x + -6) (-15 + 9x) = 4(5x + -6) Reorder the terms: -15 + 9x = 4(-6 + 5x) -15 + 9x = (-6 * 4 + 5x * 4) -15 + 9x = (-24 + 20x) Solving -15 + 9x = -24 + 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 + 9x + -20x = -24 + 20x + -20x Combine like terms: 9x + -20x = -11x -15 + -11x = -24 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -11x = -24 + 0 -15 + -11x = -24 Add '15' to each side of the equation. -15 + 15 + -11x = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = -24 + 15 -11x = -24 + 15 Combine like terms: -24 + 15 = -9 -11x = -9 Divide each side by '-11'. x = 0.8181818182 Simplifying x = 0.8181818182
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