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Simplifying 3(4x + -9) = 5(3x + -5) Reorder the terms: 3(-9 + 4x) = 5(3x + -5) (-9 * 3 + 4x * 3) = 5(3x + -5) (-27 + 12x) = 5(3x + -5) Reorder the terms: -27 + 12x = 5(-5 + 3x) -27 + 12x = (-5 * 5 + 3x * 5) -27 + 12x = (-25 + 15x) Solving -27 + 12x = -25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -27 + 12x + -15x = -25 + 15x + -15x Combine like terms: 12x + -15x = -3x -27 + -3x = -25 + 15x + -15x Combine like terms: 15x + -15x = 0 -27 + -3x = -25 + 0 -27 + -3x = -25 Add '27' to each side of the equation. -27 + 27 + -3x = -25 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = -25 + 27 -3x = -25 + 27 Combine like terms: -25 + 27 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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