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Simplifying x + -6 + 81 = 2x + 1 Reorder the terms: -6 + 81 + x = 2x + 1 Combine like terms: -6 + 81 = 75 75 + x = 2x + 1 Reorder the terms: 75 + x = 1 + 2x Solving 75 + x = 1 + 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. 75 + x + -2x = 1 + 2x + -2x Combine like terms: x + -2x = -1x 75 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + -1x = 1 + 0 75 + -1x = 1 Add '-75' to each side of the equation. 75 + -75 + -1x = 1 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 1 + -75 -1x = 1 + -75 Combine like terms: 1 + -75 = -74 -1x = -74 Divide each side by '-1'. x = 74 Simplifying x = 74
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