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Simplifying 27x + -18 = 14x + 122 Reorder the terms: -18 + 27x = 14x + 122 Reorder the terms: -18 + 27x = 122 + 14x Solving -18 + 27x = 122 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -18 + 27x + -14x = 122 + 14x + -14x Combine like terms: 27x + -14x = 13x -18 + 13x = 122 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + 13x = 122 + 0 -18 + 13x = 122 Add '18' to each side of the equation. -18 + 18 + 13x = 122 + 18 Combine like terms: -18 + 18 = 0 0 + 13x = 122 + 18 13x = 122 + 18 Combine like terms: 122 + 18 = 140 13x = 140 Divide each side by '13'. x = 10.76923077 Simplifying x = 10.76923077
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