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Simplifying 6x + 11x + 105 = 119 + 15x Reorder the terms: 105 + 6x + 11x = 119 + 15x Combine like terms: 6x + 11x = 17x 105 + 17x = 119 + 15x Solving 105 + 17x = 119 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 105 + 17x + -15x = 119 + 15x + -15x Combine like terms: 17x + -15x = 2x 105 + 2x = 119 + 15x + -15x Combine like terms: 15x + -15x = 0 105 + 2x = 119 + 0 105 + 2x = 119 Add '-105' to each side of the equation. 105 + -105 + 2x = 119 + -105 Combine like terms: 105 + -105 = 0 0 + 2x = 119 + -105 2x = 119 + -105 Combine like terms: 119 + -105 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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