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Simplifying 6x + -8 + 8x = 5 + 12x + -11 Reorder the terms: -8 + 6x + 8x = 5 + 12x + -11 Combine like terms: 6x + 8x = 14x -8 + 14x = 5 + 12x + -11 Reorder the terms: -8 + 14x = 5 + -11 + 12x Combine like terms: 5 + -11 = -6 -8 + 14x = -6 + 12x Solving -8 + 14x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 14x + -12x = -6 + 12x + -12x Combine like terms: 14x + -12x = 2x -8 + 2x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 2x = -6 + 0 -8 + 2x = -6 Add '8' to each side of the equation. -8 + 8 + 2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -6 + 8 2x = -6 + 8 Combine like terms: -6 + 8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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