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Simplifying 8x + -4 + 3x = x + 2 + 7x + 12 Reorder the terms: -4 + 8x + 3x = x + 2 + 7x + 12 Combine like terms: 8x + 3x = 11x -4 + 11x = x + 2 + 7x + 12 Reorder the terms: -4 + 11x = 2 + 12 + x + 7x Combine like terms: 2 + 12 = 14 -4 + 11x = 14 + x + 7x Combine like terms: x + 7x = 8x -4 + 11x = 14 + 8x Solving -4 + 11x = 14 + 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. -4 + 11x + -8x = 14 + 8x + -8x Combine like terms: 11x + -8x = 3x -4 + 3x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 3x = 14 + 0 -4 + 3x = 14 Add '4' to each side of the equation. -4 + 4 + 3x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 14 + 4 3x = 14 + 4 Combine like terms: 14 + 4 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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