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Simplifying (x + -5) + -1(8x + 2) = 0 Reorder the terms: (-5 + x) + -1(8x + 2) = 0 Remove parenthesis around (-5 + x) -5 + x + -1(8x + 2) = 0 Reorder the terms: -5 + x + -1(2 + 8x) = 0 -5 + x + (2 * -1 + 8x * -1) = 0 -5 + x + (-2 + -8x) = 0 Reorder the terms: -5 + -2 + x + -8x = 0 Combine like terms: -5 + -2 = -7 -7 + x + -8x = 0 Combine like terms: x + -8x = -7x -7 + -7x = 0 Solving -7 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -7x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 0 + 7 -7x = 0 + 7 Combine like terms: 0 + 7 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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