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Simplifying (5 + -1x) + (6 + -1x) = 5 + -1x Remove parenthesis around (5 + -1x) 5 + -1x + (6 + -1x) = 5 + -1x Remove parenthesis around (6 + -1x) 5 + -1x + 6 + -1x = 5 + -1x Reorder the terms: 5 + 6 + -1x + -1x = 5 + -1x Combine like terms: 5 + 6 = 11 11 + -1x + -1x = 5 + -1x Combine like terms: -1x + -1x = -2x 11 + -2x = 5 + -1x Solving 11 + -2x = 5 + -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. 11 + -2x + x = 5 + -1x + x Combine like terms: -2x + x = -1x 11 + -1x = 5 + -1x + x Combine like terms: -1x + x = 0 11 + -1x = 5 + 0 11 + -1x = 5 Add '-11' to each side of the equation. 11 + -11 + -1x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 5 + -11 -1x = 5 + -11 Combine like terms: 5 + -11 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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