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Simplifying 6 + 12x = 83 + x Solving 6 + 12x = 83 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 12x + -1x = 83 + x + -1x Combine like terms: 12x + -1x = 11x 6 + 11x = 83 + x + -1x Combine like terms: x + -1x = 0 6 + 11x = 83 + 0 6 + 11x = 83 Add '-6' to each side of the equation. 6 + -6 + 11x = 83 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 83 + -6 11x = 83 + -6 Combine like terms: 83 + -6 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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