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Simplifying -5x + 14 = 12x + 10 Reorder the terms: 14 + -5x = 12x + 10 Reorder the terms: 14 + -5x = 10 + 12x Solving 14 + -5x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + -5x + -12x = 10 + 12x + -12x Combine like terms: -5x + -12x = -17x 14 + -17x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -17x = 10 + 0 14 + -17x = 10 Add '-14' to each side of the equation. 14 + -14 + -17x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -17x = 10 + -14 -17x = 10 + -14 Combine like terms: 10 + -14 = -4 -17x = -4 Divide each side by '-17'. x = 0.2352941176 Simplifying x = 0.2352941176
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