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Simplifying 2(3x + 1) + 3(2x + -3) = 31 Reorder the terms: 2(1 + 3x) + 3(2x + -3) = 31 (1 * 2 + 3x * 2) + 3(2x + -3) = 31 (2 + 6x) + 3(2x + -3) = 31 Reorder the terms: 2 + 6x + 3(-3 + 2x) = 31 2 + 6x + (-3 * 3 + 2x * 3) = 31 2 + 6x + (-9 + 6x) = 31 Reorder the terms: 2 + -9 + 6x + 6x = 31 Combine like terms: 2 + -9 = -7 -7 + 6x + 6x = 31 Combine like terms: 6x + 6x = 12x -7 + 12x = 31 Solving -7 + 12x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12x = 31 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 31 + 7 12x = 31 + 7 Combine like terms: 31 + 7 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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