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Simplifying 3(3x + 4) = 5(4x + -13) Reorder the terms: 3(4 + 3x) = 5(4x + -13) (4 * 3 + 3x * 3) = 5(4x + -13) (12 + 9x) = 5(4x + -13) Reorder the terms: 12 + 9x = 5(-13 + 4x) 12 + 9x = (-13 * 5 + 4x * 5) 12 + 9x = (-65 + 20x) Solving 12 + 9x = -65 + 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. 12 + 9x + -20x = -65 + 20x + -20x Combine like terms: 9x + -20x = -11x 12 + -11x = -65 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -11x = -65 + 0 12 + -11x = -65 Add '-12' to each side of the equation. 12 + -12 + -11x = -65 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -65 + -12 -11x = -65 + -12 Combine like terms: -65 + -12 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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