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Simplifying (x + -13) + -1(x + -5) + 2x = 0 Reorder the terms: (-13 + x) + -1(x + -5) + 2x = 0 Remove parenthesis around (-13 + x) -13 + x + -1(x + -5) + 2x = 0 Reorder the terms: -13 + x + -1(-5 + x) + 2x = 0 -13 + x + (-5 * -1 + x * -1) + 2x = 0 -13 + x + (5 + -1x) + 2x = 0 Reorder the terms: -13 + 5 + x + -1x + 2x = 0 Combine like terms: -13 + 5 = -8 -8 + x + -1x + 2x = 0 Combine like terms: x + -1x = 0 -8 + 0 + 2x = 0 -8 + 2x = 0 Solving -8 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 0 + 8 2x = 0 + 8 Combine like terms: 0 + 8 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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