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Simplifying 2x + 81 = 7x + 6 Reorder the terms: 81 + 2x = 7x + 6 Reorder the terms: 81 + 2x = 6 + 7x Solving 81 + 2x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 81 + 2x + -7x = 6 + 7x + -7x Combine like terms: 2x + -7x = -5x 81 + -5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 81 + -5x = 6 + 0 81 + -5x = 6 Add '-81' to each side of the equation. 81 + -81 + -5x = 6 + -81 Combine like terms: 81 + -81 = 0 0 + -5x = 6 + -81 -5x = 6 + -81 Combine like terms: 6 + -81 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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