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Simplifying 3(3x + 5) = 10(2x + -4) Reorder the terms: 3(5 + 3x) = 10(2x + -4) (5 * 3 + 3x * 3) = 10(2x + -4) (15 + 9x) = 10(2x + -4) Reorder the terms: 15 + 9x = 10(-4 + 2x) 15 + 9x = (-4 * 10 + 2x * 10) 15 + 9x = (-40 + 20x) Solving 15 + 9x = -40 + 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 = -40 + 20x + -20x Combine like terms: 9x + -20x = -11x 15 + -11x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + -11x = -40 + 0 15 + -11x = -40 Add '-15' to each side of the equation. 15 + -15 + -11x = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = -40 + -15 -11x = -40 + -15 Combine like terms: -40 + -15 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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