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Simplifying 5(2x + -1) + 3(1 + -1x) = 37 Reorder the terms: 5(-1 + 2x) + 3(1 + -1x) = 37 (-1 * 5 + 2x * 5) + 3(1 + -1x) = 37 (-5 + 10x) + 3(1 + -1x) = 37 -5 + 10x + (1 * 3 + -1x * 3) = 37 -5 + 10x + (3 + -3x) = 37 Reorder the terms: -5 + 3 + 10x + -3x = 37 Combine like terms: -5 + 3 = -2 -2 + 10x + -3x = 37 Combine like terms: 10x + -3x = 7x -2 + 7x = 37 Solving -2 + 7x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7x = 37 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 37 + 2 7x = 37 + 2 Combine like terms: 37 + 2 = 39 7x = 39 Divide each side by '7'. x = 5.571428571 Simplifying x = 5.571428571
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