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Simplifying 81 + 6x = 7x + 16 Reorder the terms: 81 + 6x = 16 + 7x Solving 81 + 6x = 16 + 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 + 6x + -7x = 16 + 7x + -7x Combine like terms: 6x + -7x = -1x 81 + -1x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 81 + -1x = 16 + 0 81 + -1x = 16 Add '-81' to each side of the equation. 81 + -81 + -1x = 16 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = 16 + -81 -1x = 16 + -81 Combine like terms: 16 + -81 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65
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