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Simplifying 2(3 + -4x) + 5(6 + -7x) = 37 (3 * 2 + -4x * 2) + 5(6 + -7x) = 37 (6 + -8x) + 5(6 + -7x) = 37 6 + -8x + (6 * 5 + -7x * 5) = 37 6 + -8x + (30 + -35x) = 37 Reorder the terms: 6 + 30 + -8x + -35x = 37 Combine like terms: 6 + 30 = 36 36 + -8x + -35x = 37 Combine like terms: -8x + -35x = -43x 36 + -43x = 37 Solving 36 + -43x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -43x = 37 + -36 Combine like terms: 36 + -36 = 0 0 + -43x = 37 + -36 -43x = 37 + -36 Combine like terms: 37 + -36 = 1 -43x = 1 Divide each side by '-43'. x = -0.02325581395 Simplifying x = -0.02325581395
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