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Simplifying 2x + 9 = 0.8x + 21 Reorder the terms: 9 + 2x = 0.8x + 21 Reorder the terms: 9 + 2x = 21 + 0.8x Solving 9 + 2x = 21 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 9 + 2x + -0.8x = 21 + 0.8x + -0.8x Combine like terms: 2x + -0.8x = 1.2x 9 + 1.2x = 21 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 9 + 1.2x = 21 + 0.0 9 + 1.2x = 21 Add '-9' to each side of the equation. 9 + -9 + 1.2x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 1.2x = 21 + -9 1.2x = 21 + -9 Combine like terms: 21 + -9 = 12 1.2x = 12 Divide each side by '1.2'. x = 10 Simplifying x = 10
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