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Simplifying 4(x + -2) + 2(5x + 1) = 37 Reorder the terms: 4(-2 + x) + 2(5x + 1) = 37 (-2 * 4 + x * 4) + 2(5x + 1) = 37 (-8 + 4x) + 2(5x + 1) = 37 Reorder the terms: -8 + 4x + 2(1 + 5x) = 37 -8 + 4x + (1 * 2 + 5x * 2) = 37 -8 + 4x + (2 + 10x) = 37 Reorder the terms: -8 + 2 + 4x + 10x = 37 Combine like terms: -8 + 2 = -6 -6 + 4x + 10x = 37 Combine like terms: 4x + 10x = 14x -6 + 14x = 37 Solving -6 + 14x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 14x = 37 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 37 + 6 14x = 37 + 6 Combine like terms: 37 + 6 = 43 14x = 43 Divide each side by '14'. x = 3.071428571 Simplifying x = 3.071428571
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