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Simplifying (3x + -1) + -1(x + 5) = -52 Reorder the terms: (-1 + 3x) + -1(x + 5) = -52 Remove parenthesis around (-1 + 3x) -1 + 3x + -1(x + 5) = -52 Reorder the terms: -1 + 3x + -1(5 + x) = -52 -1 + 3x + (5 * -1 + x * -1) = -52 -1 + 3x + (-5 + -1x) = -52 Reorder the terms: -1 + -5 + 3x + -1x = -52 Combine like terms: -1 + -5 = -6 -6 + 3x + -1x = -52 Combine like terms: 3x + -1x = 2x -6 + 2x = -52 Solving -6 + 2x = -52 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 + 2x = -52 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -52 + 6 2x = -52 + 6 Combine like terms: -52 + 6 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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