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Simplifying 3(2x + -1) + 2(4x + 3) = 31 Reorder the terms: 3(-1 + 2x) + 2(4x + 3) = 31 (-1 * 3 + 2x * 3) + 2(4x + 3) = 31 (-3 + 6x) + 2(4x + 3) = 31 Reorder the terms: -3 + 6x + 2(3 + 4x) = 31 -3 + 6x + (3 * 2 + 4x * 2) = 31 -3 + 6x + (6 + 8x) = 31 Reorder the terms: -3 + 6 + 6x + 8x = 31 Combine like terms: -3 + 6 = 3 3 + 6x + 8x = 31 Combine like terms: 6x + 8x = 14x 3 + 14x = 31 Solving 3 + 14x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 31 + -3 14x = 31 + -3 Combine like terms: 31 + -3 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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