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Simplifying 117 = x + (x + -41) Reorder the terms: 117 = x + (-41 + x) Remove parenthesis around (-41 + x) 117 = x + -41 + x Reorder the terms: 117 = -41 + x + x Combine like terms: x + x = 2x 117 = -41 + 2x Solving 117 = -41 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 117 + -2x = -41 + 2x + -2x Combine like terms: 2x + -2x = 0 117 + -2x = -41 + 0 117 + -2x = -41 Add '-117' to each side of the equation. 117 + -117 + -2x = -41 + -117 Combine like terms: 117 + -117 = 0 0 + -2x = -41 + -117 -2x = -41 + -117 Combine like terms: -41 + -117 = -158 -2x = -158 Divide each side by '-2'. x = 79 Simplifying x = 79
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