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Simplifying 5x + -2 = 12 + -7x Reorder the terms: -2 + 5x = 12 + -7x Solving -2 + 5x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 5x + 7x = 12 + -7x + 7x Combine like terms: 5x + 7x = 12x -2 + 12x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 12x = 12 + 0 -2 + 12x = 12 Add '2' to each side of the equation. -2 + 2 + 12x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 12 + 2 12x = 12 + 2 Combine like terms: 12 + 2 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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