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Simplifying (x + -5) + -1(5x + 5) = 0 Reorder the terms: (-5 + x) + -1(5x + 5) = 0 Remove parenthesis around (-5 + x) -5 + x + -1(5x + 5) = 0 Reorder the terms: -5 + x + -1(5 + 5x) = 0 -5 + x + (5 * -1 + 5x * -1) = 0 -5 + x + (-5 + -5x) = 0 Reorder the terms: -5 + -5 + x + -5x = 0 Combine like terms: -5 + -5 = -10 -10 + x + -5x = 0 Combine like terms: x + -5x = -4x -10 + -4x = 0 Solving -10 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 0 + 10 -4x = 0 + 10 Combine like terms: 0 + 10 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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