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Simplifying 2x + -8 + 6 = 12x + 9 + -6x + 10 Reorder the terms: -8 + 6 + 2x = 12x + 9 + -6x + 10 Combine like terms: -8 + 6 = -2 -2 + 2x = 12x + 9 + -6x + 10 Reorder the terms: -2 + 2x = 9 + 10 + 12x + -6x Combine like terms: 9 + 10 = 19 -2 + 2x = 19 + 12x + -6x Combine like terms: 12x + -6x = 6x -2 + 2x = 19 + 6x Solving -2 + 2x = 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. -2 + 2x + -6x = 19 + 6x + -6x Combine like terms: 2x + -6x = -4x -2 + -4x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -4x = 19 + 0 -2 + -4x = 19 Add '2' to each side of the equation. -2 + 2 + -4x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 19 + 2 -4x = 19 + 2 Combine like terms: 19 + 2 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25
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