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Simplifying 6x + 83 = 12x + 11 Reorder the terms: 83 + 6x = 12x + 11 Reorder the terms: 83 + 6x = 11 + 12x Solving 83 + 6x = 11 + 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. 83 + 6x + -12x = 11 + 12x + -12x Combine like terms: 6x + -12x = -6x 83 + -6x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 83 + -6x = 11 + 0 83 + -6x = 11 Add '-83' to each side of the equation. 83 + -83 + -6x = 11 + -83 Combine like terms: 83 + -83 = 0 0 + -6x = 11 + -83 -6x = 11 + -83 Combine like terms: 11 + -83 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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