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Simplifying 0.5(x + 10) + 0.3x = 21 Reorder the terms: 0.5(10 + x) + 0.3x = 21 (10 * 0.5 + x * 0.5) + 0.3x = 21 (5 + 0.5x) + 0.3x = 21 Combine like terms: 0.5x + 0.3x = 0.8x 5 + 0.8x = 21 Solving 5 + 0.8x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.8x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 0.8x = 21 + -5 0.8x = 21 + -5 Combine like terms: 21 + -5 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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