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Simplifying 2x + -8 + 6x = 12x + 9 + -6x + 10 Reorder the terms: -8 + 2x + 6x = 12x + 9 + -6x + 10 Combine like terms: 2x + 6x = 8x -8 + 8x = 12x + 9 + -6x + 10 Reorder the terms: -8 + 8x = 9 + 10 + 12x + -6x Combine like terms: 9 + 10 = 19 -8 + 8x = 19 + 12x + -6x Combine like terms: 12x + -6x = 6x -8 + 8x = 19 + 6x Solving -8 + 8x = 19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 8x + -6x = 19 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = 19 + 0 -8 + 2x = 19 Add '8' to each side of the equation. -8 + 8 + 2x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 19 + 8 2x = 19 + 8 Combine like terms: 19 + 8 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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