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Simplifying 10(2x + 5) = 3(3x + 8) Reorder the terms: 10(5 + 2x) = 3(3x + 8) (5 * 10 + 2x * 10) = 3(3x + 8) (50 + 20x) = 3(3x + 8) Reorder the terms: 50 + 20x = 3(8 + 3x) 50 + 20x = (8 * 3 + 3x * 3) 50 + 20x = (24 + 9x) Solving 50 + 20x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 50 + 20x + -9x = 24 + 9x + -9x Combine like terms: 20x + -9x = 11x 50 + 11x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 50 + 11x = 24 + 0 50 + 11x = 24 Add '-50' to each side of the equation. 50 + -50 + 11x = 24 + -50 Combine like terms: 50 + -50 = 0 0 + 11x = 24 + -50 11x = 24 + -50 Combine like terms: 24 + -50 = -26 11x = -26 Divide each side by '11'. x = -2.363636364 Simplifying x = -2.363636364
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