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Simplifying 3(4x + -7) + -2(x + 9) = 31 Reorder the terms: 3(-7 + 4x) + -2(x + 9) = 31 (-7 * 3 + 4x * 3) + -2(x + 9) = 31 (-21 + 12x) + -2(x + 9) = 31 Reorder the terms: -21 + 12x + -2(9 + x) = 31 -21 + 12x + (9 * -2 + x * -2) = 31 -21 + 12x + (-18 + -2x) = 31 Reorder the terms: -21 + -18 + 12x + -2x = 31 Combine like terms: -21 + -18 = -39 -39 + 12x + -2x = 31 Combine like terms: 12x + -2x = 10x -39 + 10x = 31 Solving -39 + 10x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 10x = 31 + 39 Combine like terms: -39 + 39 = 0 0 + 10x = 31 + 39 10x = 31 + 39 Combine like terms: 31 + 39 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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