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Simplifying 3x + -12 + 10 = 8 + -2x Reorder the terms: -12 + 10 + 3x = 8 + -2x Combine like terms: -12 + 10 = -2 -2 + 3x = 8 + -2x Solving -2 + 3x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -2 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 5x = 8 + 0 -2 + 5x = 8 Add '2' to each side of the equation. -2 + 2 + 5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 8 + 2 5x = 8 + 2 Combine like terms: 8 + 2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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