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Simplifying 6x + -81 = 114 + -9x Reorder the terms: -81 + 6x = 114 + -9x Solving -81 + 6x = 114 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -81 + 6x + 9x = 114 + -9x + 9x Combine like terms: 6x + 9x = 15x -81 + 15x = 114 + -9x + 9x Combine like terms: -9x + 9x = 0 -81 + 15x = 114 + 0 -81 + 15x = 114 Add '81' to each side of the equation. -81 + 81 + 15x = 114 + 81 Combine like terms: -81 + 81 = 0 0 + 15x = 114 + 81 15x = 114 + 81 Combine like terms: 114 + 81 = 195 15x = 195 Divide each side by '15'. x = 13 Simplifying x = 13
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