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Simplifying 3(2x + 3) + 2(x + 2) = 31 Reorder the terms: 3(3 + 2x) + 2(x + 2) = 31 (3 * 3 + 2x * 3) + 2(x + 2) = 31 (9 + 6x) + 2(x + 2) = 31 Reorder the terms: 9 + 6x + 2(2 + x) = 31 9 + 6x + (2 * 2 + x * 2) = 31 9 + 6x + (4 + 2x) = 31 Reorder the terms: 9 + 4 + 6x + 2x = 31 Combine like terms: 9 + 4 = 13 13 + 6x + 2x = 31 Combine like terms: 6x + 2x = 8x 13 + 8x = 31 Solving 13 + 8x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8x = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 31 + -13 8x = 31 + -13 Combine like terms: 31 + -13 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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