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Simplifying 0.3(x + 10) + 0.5x = 19 Reorder the terms: 0.3(10 + x) + 0.5x = 19 (10 * 0.3 + x * 0.3) + 0.5x = 19 (3 + 0.3x) + 0.5x = 19 Combine like terms: 0.3x + 0.5x = 0.8x 3 + 0.8x = 19 Solving 3 + 0.8x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.8x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 0.8x = 19 + -3 0.8x = 19 + -3 Combine like terms: 19 + -3 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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