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Simplifying 7x + -6 + x = 10 + x + 2 + 4x Reorder the terms: -6 + 7x + x = 10 + x + 2 + 4x Combine like terms: 7x + x = 8x -6 + 8x = 10 + x + 2 + 4x Reorder the terms: -6 + 8x = 10 + 2 + x + 4x Combine like terms: 10 + 2 = 12 -6 + 8x = 12 + x + 4x Combine like terms: x + 4x = 5x -6 + 8x = 12 + 5x Solving -6 + 8x = 12 + 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. -6 + 8x + -5x = 12 + 5x + -5x Combine like terms: 8x + -5x = 3x -6 + 3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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