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Simplifying 8x + -6 + 3x = 7x + x + 12 Reorder the terms: -6 + 8x + 3x = 7x + x + 12 Combine like terms: 8x + 3x = 11x -6 + 11x = 7x + x + 12 Reorder the terms: -6 + 11x = 12 + 7x + x Combine like terms: 7x + x = 8x -6 + 11x = 12 + 8x Solving -6 + 11x = 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. -6 + 11x + -8x = 12 + 8x + -8x Combine like terms: 11x + -8x = 3x -6 + 3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 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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