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Simplifying -6 + -1x + 12x = 1 + -1x + 6 Combine like terms: -1x + 12x = 11x -6 + 11x = 1 + -1x + 6 Reorder the terms: -6 + 11x = 1 + 6 + -1x Combine like terms: 1 + 6 = 7 -6 + 11x = 7 + -1x Solving -6 + 11x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 11x + x = 7 + -1x + x Combine like terms: 11x + x = 12x -6 + 12x = 7 + -1x + x Combine like terms: -1x + x = 0 -6 + 12x = 7 + 0 -6 + 12x = 7 Add '6' to each side of the equation. -6 + 6 + 12x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 7 + 6 12x = 7 + 6 Combine like terms: 7 + 6 = 13 12x = 13 Divide each side by '12'. x = 1.083333333 Simplifying x = 1.083333333
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