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Simplifying 0.8x + 20 = 0.6x + 21 Reorder the terms: 20 + 0.8x = 0.6x + 21 Reorder the terms: 20 + 0.8x = 21 + 0.6x Solving 20 + 0.8x = 21 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 20 + 0.8x + -0.6x = 21 + 0.6x + -0.6x Combine like terms: 0.8x + -0.6x = 0.2x 20 + 0.2x = 21 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 20 + 0.2x = 21 + 0.0 20 + 0.2x = 21 Add '-20' to each side of the equation. 20 + -20 + 0.2x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 0.2x = 21 + -20 0.2x = 21 + -20 Combine like terms: 21 + -20 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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