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Simplifying 7x + -2 + 10 = 12x + -2 Reorder the terms: -2 + 10 + 7x = 12x + -2 Combine like terms: -2 + 10 = 8 8 + 7x = 12x + -2 Reorder the terms: 8 + 7x = -2 + 12x Solving 8 + 7x = -2 + 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. 8 + 7x + -12x = -2 + 12x + -12x Combine like terms: 7x + -12x = -5x 8 + -5x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -5x = -2 + 0 8 + -5x = -2 Add '-8' to each side of the equation. 8 + -8 + -5x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -2 + -8 -5x = -2 + -8 Combine like terms: -2 + -8 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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