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Simplifying 10x + -9 = 21 + 2x + 3x Reorder the terms: -9 + 10x = 21 + 2x + 3x Combine like terms: 2x + 3x = 5x -9 + 10x = 21 + 5x Solving -9 + 10x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 10x + -5x = 21 + 5x + -5x Combine like terms: 10x + -5x = 5x -9 + 5x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 5x = 21 + 0 -9 + 5x = 21 Add '9' to each side of the equation. -9 + 9 + 5x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 21 + 9 5x = 21 + 9 Combine like terms: 21 + 9 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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