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Simplifying 6x + 78 = 37 + 11x Reorder the terms: 78 + 6x = 37 + 11x Solving 78 + 6x = 37 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 78 + 6x + -11x = 37 + 11x + -11x Combine like terms: 6x + -11x = -5x 78 + -5x = 37 + 11x + -11x Combine like terms: 11x + -11x = 0 78 + -5x = 37 + 0 78 + -5x = 37 Add '-78' to each side of the equation. 78 + -78 + -5x = 37 + -78 Combine like terms: 78 + -78 = 0 0 + -5x = 37 + -78 -5x = 37 + -78 Combine like terms: 37 + -78 = -41 -5x = -41 Divide each side by '-5'. x = 8.2 Simplifying x = 8.2
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