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Simplifying 0.3(x + 50) + 0.1x = 19 Reorder the terms: 0.3(50 + x) + 0.1x = 19 (50 * 0.3 + x * 0.3) + 0.1x = 19 (15 + 0.3x) + 0.1x = 19 Combine like terms: 0.3x + 0.1x = 0.4x 15 + 0.4x = 19 Solving 15 + 0.4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.4x = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 0.4x = 19 + -15 0.4x = 19 + -15 Combine like terms: 19 + -15 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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