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Simplifying -5x + 6x + -81 = 7x + 102 + 65 Reorder the terms: -81 + -5x + 6x = 7x + 102 + 65 Combine like terms: -5x + 6x = 1x -81 + 1x = 7x + 102 + 65 Reorder the terms: -81 + 1x = 102 + 65 + 7x Combine like terms: 102 + 65 = 167 -81 + 1x = 167 + 7x Solving -81 + 1x = 167 + 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 + 1x + -7x = 167 + 7x + -7x Combine like terms: 1x + -7x = -6x -81 + -6x = 167 + 7x + -7x Combine like terms: 7x + -7x = 0 -81 + -6x = 167 + 0 -81 + -6x = 167 Add '81' to each side of the equation. -81 + 81 + -6x = 167 + 81 Combine like terms: -81 + 81 = 0 0 + -6x = 167 + 81 -6x = 167 + 81 Combine like terms: 167 + 81 = 248 -6x = 248 Divide each side by '-6'. x = -41.33333333 Simplifying x = -41.33333333
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