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Simplifying 0.3(x + 100) + 0.1x = 34 Reorder the terms: 0.3(100 + x) + 0.1x = 34 (100 * 0.3 + x * 0.3) + 0.1x = 34 (30 + 0.3x) + 0.1x = 34 Combine like terms: 0.3x + 0.1x = 0.4x 30 + 0.4x = 34 Solving 30 + 0.4x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.4x = 34 + -30 Combine like terms: 30 + -30 = 0 0 + 0.4x = 34 + -30 0.4x = 34 + -30 Combine like terms: 34 + -30 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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