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Simplifying 41 = (x + -6) + x + (x + 5) Reorder the terms: 41 = (-6 + x) + x + (x + 5) Remove parenthesis around (-6 + x) 41 = -6 + x + x + (x + 5) Reorder the terms: 41 = -6 + x + x + (5 + x) Remove parenthesis around (5 + x) 41 = -6 + x + x + 5 + x Reorder the terms: 41 = -6 + 5 + x + x + x Combine like terms: -6 + 5 = -1 41 = -1 + x + x + x Combine like terms: x + x = 2x 41 = -1 + 2x + x Combine like terms: 2x + x = 3x 41 = -1 + 3x Solving 41 = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 41 + -3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 41 + -3x = -1 + 0 41 + -3x = -1 Add '-41' to each side of the equation. 41 + -41 + -3x = -1 + -41 Combine like terms: 41 + -41 = 0 0 + -3x = -1 + -41 -3x = -1 + -41 Combine like terms: -1 + -41 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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