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Simplifying 10x + -2 = 8x + 12 Reorder the terms: -2 + 10x = 8x + 12 Reorder the terms: -2 + 10x = 12 + 8x Solving -2 + 10x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x -2 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 2x = 12 + 0 -2 + 2x = 12 Add '2' to each side of the equation. -2 + 2 + 2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 12 + 2 2x = 12 + 2 Combine like terms: 12 + 2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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