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Simplifying 3(3x + 10) = 2(5 + 2x) Reorder the terms: 3(10 + 3x) = 2(5 + 2x) (10 * 3 + 3x * 3) = 2(5 + 2x) (30 + 9x) = 2(5 + 2x) 30 + 9x = (5 * 2 + 2x * 2) 30 + 9x = (10 + 4x) Solving 30 + 9x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + 9x + -4x = 10 + 4x + -4x Combine like terms: 9x + -4x = 5x 30 + 5x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 5x = 10 + 0 30 + 5x = 10 Add '-30' to each side of the equation. 30 + -30 + 5x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 10 + -30 5x = 10 + -30 Combine like terms: 10 + -30 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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