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Simplifying 2(4x + 6) + 3(2x + -3) = 31 Reorder the terms: 2(6 + 4x) + 3(2x + -3) = 31 (6 * 2 + 4x * 2) + 3(2x + -3) = 31 (12 + 8x) + 3(2x + -3) = 31 Reorder the terms: 12 + 8x + 3(-3 + 2x) = 31 12 + 8x + (-3 * 3 + 2x * 3) = 31 12 + 8x + (-9 + 6x) = 31 Reorder the terms: 12 + -9 + 8x + 6x = 31 Combine like terms: 12 + -9 = 3 3 + 8x + 6x = 31 Combine like terms: 8x + 6x = 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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