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Simplifying 2x + -8 + 6x + -12 = 5x + 10 Reorder the terms: -8 + -12 + 2x + 6x = 5x + 10 Combine like terms: -8 + -12 = -20 -20 + 2x + 6x = 5x + 10 Combine like terms: 2x + 6x = 8x -20 + 8x = 5x + 10 Reorder the terms: -20 + 8x = 10 + 5x Solving -20 + 8x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 8x + -5x = 10 + 5x + -5x Combine like terms: 8x + -5x = 3x -20 + 3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 3x = 10 + 0 -20 + 3x = 10 Add '20' to each side of the equation. -20 + 20 + 3x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 10 + 20 3x = 10 + 20 Combine like terms: 10 + 20 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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