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Simplifying 2(3 + -4x) + 5(6x + -7) = 37 (3 * 2 + -4x * 2) + 5(6x + -7) = 37 (6 + -8x) + 5(6x + -7) = 37 Reorder the terms: 6 + -8x + 5(-7 + 6x) = 37 6 + -8x + (-7 * 5 + 6x * 5) = 37 6 + -8x + (-35 + 30x) = 37 Reorder the terms: 6 + -35 + -8x + 30x = 37 Combine like terms: 6 + -35 = -29 -29 + -8x + 30x = 37 Combine like terms: -8x + 30x = 22x -29 + 22x = 37 Solving -29 + 22x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 22x = 37 + 29 Combine like terms: -29 + 29 = 0 0 + 22x = 37 + 29 22x = 37 + 29 Combine like terms: 37 + 29 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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