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Simplifying 3(3x + 1) = 2(9 + -2x) Reorder the terms: 3(1 + 3x) = 2(9 + -2x) (1 * 3 + 3x * 3) = 2(9 + -2x) (3 + 9x) = 2(9 + -2x) 3 + 9x = (9 * 2 + -2x * 2) 3 + 9x = (18 + -4x) Solving 3 + 9x = 18 + -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. 3 + 9x + 4x = 18 + -4x + 4x Combine like terms: 9x + 4x = 13x 3 + 13x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 13x = 18 + 0 3 + 13x = 18 Add '-3' to each side of the equation. 3 + -3 + 13x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 18 + -3 13x = 18 + -3 Combine like terms: 18 + -3 = 15 13x = 15 Divide each side by '13'. x = 1.153846154 Simplifying x = 1.153846154
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