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Simplifying 10x + -81 = 3x + 24 Reorder the terms: -81 + 10x = 3x + 24 Reorder the terms: -81 + 10x = 24 + 3x Solving -81 + 10x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -81 + 10x + -3x = 24 + 3x + -3x Combine like terms: 10x + -3x = 7x -81 + 7x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -81 + 7x = 24 + 0 -81 + 7x = 24 Add '81' to each side of the equation. -81 + 81 + 7x = 24 + 81 Combine like terms: -81 + 81 = 0 0 + 7x = 24 + 81 7x = 24 + 81 Combine like terms: 24 + 81 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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