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Simplifying 10x + 14 = 47 + -17x Reorder the terms: 14 + 10x = 47 + -17x Solving 14 + 10x = 47 + -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. 14 + 10x + 17x = 47 + -17x + 17x Combine like terms: 10x + 17x = 27x 14 + 27x = 47 + -17x + 17x Combine like terms: -17x + 17x = 0 14 + 27x = 47 + 0 14 + 27x = 47 Add '-14' to each side of the equation. 14 + -14 + 27x = 47 + -14 Combine like terms: 14 + -14 = 0 0 + 27x = 47 + -14 27x = 47 + -14 Combine like terms: 47 + -14 = 33 27x = 33 Divide each side by '27'. x = 1.222222222 Simplifying x = 1.222222222
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