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Simplifying (5x + -3) + -1(7x + 2) = 50 Reorder the terms: (-3 + 5x) + -1(7x + 2) = 50 Remove parenthesis around (-3 + 5x) -3 + 5x + -1(7x + 2) = 50 Reorder the terms: -3 + 5x + -1(2 + 7x) = 50 -3 + 5x + (2 * -1 + 7x * -1) = 50 -3 + 5x + (-2 + -7x) = 50 Reorder the terms: -3 + -2 + 5x + -7x = 50 Combine like terms: -3 + -2 = -5 -5 + 5x + -7x = 50 Combine like terms: 5x + -7x = -2x -5 + -2x = 50 Solving -5 + -2x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 50 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 50 + 5 -2x = 50 + 5 Combine like terms: 50 + 5 = 55 -2x = 55 Divide each side by '-2'. x = -27.5 Simplifying x = -27.5
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