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Simplifying 5x + 10 = 17x + -14 Reorder the terms: 10 + 5x = 17x + -14 Reorder the terms: 10 + 5x = -14 + 17x Solving 10 + 5x = -14 + 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. 10 + 5x + -17x = -14 + 17x + -17x Combine like terms: 5x + -17x = -12x 10 + -12x = -14 + 17x + -17x Combine like terms: 17x + -17x = 0 10 + -12x = -14 + 0 10 + -12x = -14 Add '-10' to each side of the equation. 10 + -10 + -12x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -14 + -10 -12x = -14 + -10 Combine like terms: -14 + -10 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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