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Simplifying 6x + 9 = 2x + 81 Reorder the terms: 9 + 6x = 2x + 81 Reorder the terms: 9 + 6x = 81 + 2x Solving 9 + 6x = 81 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 6x + -2x = 81 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = 81 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = 81 + 0 9 + 4x = 81 Add '-9' to each side of the equation. 9 + -9 + 4x = 81 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 81 + -9 4x = 81 + -9 Combine like terms: 81 + -9 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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