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Simplifying 12x + 17 = 1 + 14x Reorder the terms: 17 + 12x = 1 + 14x Solving 17 + 12x = 1 + 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. 17 + 12x + -14x = 1 + 14x + -14x Combine like terms: 12x + -14x = -2x 17 + -2x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 17 + -2x = 1 + 0 17 + -2x = 1 Add '-17' to each side of the equation. 17 + -17 + -2x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 1 + -17 -2x = 1 + -17 Combine like terms: 1 + -17 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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