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Simplifying 6x + -5 = 114 + -11x Reorder the terms: -5 + 6x = 114 + -11x Solving -5 + 6x = 114 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -5 + 6x + 11x = 114 + -11x + 11x Combine like terms: 6x + 11x = 17x -5 + 17x = 114 + -11x + 11x Combine like terms: -11x + 11x = 0 -5 + 17x = 114 + 0 -5 + 17x = 114 Add '5' to each side of the equation. -5 + 5 + 17x = 114 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = 114 + 5 17x = 114 + 5 Combine like terms: 114 + 5 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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