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Simplifying 125 = 5x + (6x + 1) + (6x + 5) Reorder the terms: 125 = 5x + (1 + 6x) + (6x + 5) Remove parenthesis around (1 + 6x) 125 = 5x + 1 + 6x + (6x + 5) Reorder the terms: 125 = 5x + 1 + 6x + (5 + 6x) Remove parenthesis around (5 + 6x) 125 = 5x + 1 + 6x + 5 + 6x Reorder the terms: 125 = 1 + 5 + 5x + 6x + 6x Combine like terms: 1 + 5 = 6 125 = 6 + 5x + 6x + 6x Combine like terms: 5x + 6x = 11x 125 = 6 + 11x + 6x Combine like terms: 11x + 6x = 17x 125 = 6 + 17x Solving 125 = 6 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 125 + -17x = 6 + 17x + -17x Combine like terms: 17x + -17x = 0 125 + -17x = 6 + 0 125 + -17x = 6 Add '-125' to each side of the equation. 125 + -125 + -17x = 6 + -125 Combine like terms: 125 + -125 = 0 0 + -17x = 6 + -125 -17x = 6 + -125 Combine like terms: 6 + -125 = -119 -17x = -119 Divide each side by '-17'. x = 7 Simplifying x = 7
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