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Simplifying (x + -5) + -17 = 17 + -1(x + -5) Reorder the terms: (-5 + x) + -17 = 17 + -1(x + -5) Remove parenthesis around (-5 + x) -5 + x + -17 = 17 + -1(x + -5) Reorder the terms: -5 + -17 + x = 17 + -1(x + -5) Combine like terms: -5 + -17 = -22 -22 + x = 17 + -1(x + -5) Reorder the terms: -22 + x = 17 + -1(-5 + x) -22 + x = 17 + (-5 * -1 + x * -1) -22 + x = 17 + (5 + -1x) Combine like terms: 17 + 5 = 22 -22 + x = 22 + -1x Solving -22 + x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -22 + x + x = 22 + -1x + x Combine like terms: x + x = 2x -22 + 2x = 22 + -1x + x Combine like terms: -1x + x = 0 -22 + 2x = 22 + 0 -22 + 2x = 22 Add '22' to each side of the equation. -22 + 22 + 2x = 22 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 22 + 22 2x = 22 + 22 Combine like terms: 22 + 22 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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