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Simplifying 14x + 27 = 4x + 97 Reorder the terms: 27 + 14x = 4x + 97 Reorder the terms: 27 + 14x = 97 + 4x Solving 27 + 14x = 97 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 14x + -4x = 97 + 4x + -4x Combine like terms: 14x + -4x = 10x 27 + 10x = 97 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 10x = 97 + 0 27 + 10x = 97 Add '-27' to each side of the equation. 27 + -27 + 10x = 97 + -27 Combine like terms: 27 + -27 = 0 0 + 10x = 97 + -27 10x = 97 + -27 Combine like terms: 97 + -27 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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