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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 = 7x 14 + 7x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 7x = 10 + 0 14 + 7x = 10 Add '-14' to each side of the equation. 14 + -14 + 7x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 10 + -14 7x = 10 + -14 Combine like terms: 10 + -14 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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