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Simplifying 2(4 + 6) + 3(2x + -3) = 31 Combine like terms: 4 + 6 = 10 2(10) + 3(2x + -3) = 31 Multiply 2 * 10 20 + 3(2x + -3) = 31 Reorder the terms: 20 + 3(-3 + 2x) = 31 20 + (-3 * 3 + 2x * 3) = 31 20 + (-9 + 6x) = 31 Combine like terms: 20 + -9 = 11 11 + 6x = 31 Solving 11 + 6x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 31 + -11 6x = 31 + -11 Combine like terms: 31 + -11 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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