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Simplifying 12x + 8 + -1x = 5x + 1 Reorder the terms: 8 + 12x + -1x = 5x + 1 Combine like terms: 12x + -1x = 11x 8 + 11x = 5x + 1 Reorder the terms: 8 + 11x = 1 + 5x Solving 8 + 11x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 11x + -5x = 1 + 5x + -5x Combine like terms: 11x + -5x = 6x 8 + 6x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 6x = 1 + 0 8 + 6x = 1 Add '-8' to each side of the equation. 8 + -8 + 6x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 1 + -8 6x = 1 + -8 Combine like terms: 1 + -8 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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