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Simplifying 6x + 11 = 12x + 7 Reorder the terms: 11 + 6x = 12x + 7 Reorder the terms: 11 + 6x = 7 + 12x Solving 11 + 6x = 7 + 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. 11 + 6x + -12x = 7 + 12x + -12x Combine like terms: 6x + -12x = -6x 11 + -6x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -6x = 7 + 0 11 + -6x = 7 Add '-11' to each side of the equation. 11 + -11 + -6x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 7 + -11 -6x = 7 + -11 Combine like terms: 7 + -11 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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