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Simplifying 3(2x + -4) + 5(x + -1) = 37 Reorder the terms: 3(-4 + 2x) + 5(x + -1) = 37 (-4 * 3 + 2x * 3) + 5(x + -1) = 37 (-12 + 6x) + 5(x + -1) = 37 Reorder the terms: -12 + 6x + 5(-1 + x) = 37 -12 + 6x + (-1 * 5 + x * 5) = 37 -12 + 6x + (-5 + 5x) = 37 Reorder the terms: -12 + -5 + 6x + 5x = 37 Combine like terms: -12 + -5 = -17 -17 + 6x + 5x = 37 Combine like terms: 6x + 5x = 11x -17 + 11x = 37 Solving -17 + 11x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 11x = 37 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 37 + 17 11x = 37 + 17 Combine like terms: 37 + 17 = 54 11x = 54 Divide each side by '11'. x = 4.909090909 Simplifying x = 4.909090909
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