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Simplifying 3(3x + 2) = 2(x + 10) Reorder the terms: 3(2 + 3x) = 2(x + 10) (2 * 3 + 3x * 3) = 2(x + 10) (6 + 9x) = 2(x + 10) Reorder the terms: 6 + 9x = 2(10 + x) 6 + 9x = (10 * 2 + x * 2) 6 + 9x = (20 + 2x) Solving 6 + 9x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 9x + -2x = 20 + 2x + -2x Combine like terms: 9x + -2x = 7x 6 + 7x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 7x = 20 + 0 6 + 7x = 20 Add '-6' to each side of the equation. 6 + -6 + 7x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 20 + -6 7x = 20 + -6 Combine like terms: 20 + -6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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