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Simplifying 5x + 6x + -81 = 7x + 102 + 65x Reorder the terms: -81 + 5x + 6x = 7x + 102 + 65x Combine like terms: 5x + 6x = 11x -81 + 11x = 7x + 102 + 65x Reorder the terms: -81 + 11x = 102 + 7x + 65x Combine like terms: 7x + 65x = 72x -81 + 11x = 102 + 72x Solving -81 + 11x = 102 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -81 + 11x + -72x = 102 + 72x + -72x Combine like terms: 11x + -72x = -61x -81 + -61x = 102 + 72x + -72x Combine like terms: 72x + -72x = 0 -81 + -61x = 102 + 0 -81 + -61x = 102 Add '81' to each side of the equation. -81 + 81 + -61x = 102 + 81 Combine like terms: -81 + 81 = 0 0 + -61x = 102 + 81 -61x = 102 + 81 Combine like terms: 102 + 81 = 183 -61x = 183 Divide each side by '-61'. x = -3 Simplifying x = -3
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