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Simplifying 5(2x + -1) + 2(5x + 1) = 37 Reorder the terms: 5(-1 + 2x) + 2(5x + 1) = 37 (-1 * 5 + 2x * 5) + 2(5x + 1) = 37 (-5 + 10x) + 2(5x + 1) = 37 Reorder the terms: -5 + 10x + 2(1 + 5x) = 37 -5 + 10x + (1 * 2 + 5x * 2) = 37 -5 + 10x + (2 + 10x) = 37 Reorder the terms: -5 + 2 + 10x + 10x = 37 Combine like terms: -5 + 2 = -3 -3 + 10x + 10x = 37 Combine like terms: 10x + 10x = 20x -3 + 20x = 37 Solving -3 + 20x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 20x = 37 + 3 Combine like terms: -3 + 3 = 0 0 + 20x = 37 + 3 20x = 37 + 3 Combine like terms: 37 + 3 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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