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Simplifying -9(3 + -4x) + 2(6 + -7x) = -37 (3 * -9 + -4x * -9) + 2(6 + -7x) = -37 (-27 + 36x) + 2(6 + -7x) = -37 -27 + 36x + (6 * 2 + -7x * 2) = -37 -27 + 36x + (12 + -14x) = -37 Reorder the terms: -27 + 12 + 36x + -14x = -37 Combine like terms: -27 + 12 = -15 -15 + 36x + -14x = -37 Combine like terms: 36x + -14x = 22x -15 + 22x = -37 Solving -15 + 22x = -37 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 + 22x = -37 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = -37 + 15 22x = -37 + 15 Combine like terms: -37 + 15 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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