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Simplifying 2(3 + 4x) + -1(2x + 3) + 12 = 40 (3 * 2 + 4x * 2) + -1(2x + 3) + 12 = 40 (6 + 8x) + -1(2x + 3) + 12 = 40 Reorder the terms: 6 + 8x + -1(3 + 2x) + 12 = 40 6 + 8x + (3 * -1 + 2x * -1) + 12 = 40 6 + 8x + (-3 + -2x) + 12 = 40 Reorder the terms: 6 + -3 + 12 + 8x + -2x = 40 Combine like terms: 6 + -3 = 3 3 + 12 + 8x + -2x = 40 Combine like terms: 3 + 12 = 15 15 + 8x + -2x = 40 Combine like terms: 8x + -2x = 6x 15 + 6x = 40 Solving 15 + 6x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6x = 40 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 40 + -15 6x = 40 + -15 Combine like terms: 40 + -15 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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