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Simplifying 3(4x + -7) + -2(x + -9) = 37 Reorder the terms: 3(-7 + 4x) + -2(x + -9) = 37 (-7 * 3 + 4x * 3) + -2(x + -9) = 37 (-21 + 12x) + -2(x + -9) = 37 Reorder the terms: -21 + 12x + -2(-9 + x) = 37 -21 + 12x + (-9 * -2 + x * -2) = 37 -21 + 12x + (18 + -2x) = 37 Reorder the terms: -21 + 18 + 12x + -2x = 37 Combine like terms: -21 + 18 = -3 -3 + 12x + -2x = 37 Combine like terms: 12x + -2x = 10x -3 + 10x = 37 Solving -3 + 10x = 37 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 + 10x = 37 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 37 + 3 10x = 37 + 3 Combine like terms: 37 + 3 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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