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Simplifying 0.02(x + 50) + 0.8x = 35 Reorder the terms: 0.02(50 + x) + 0.8x = 35 (50 * 0.02 + x * 0.02) + 0.8x = 35 (1 + 0.02x) + 0.8x = 35 Combine like terms: 0.02x + 0.8x = 0.82x 1 + 0.82x = 35 Solving 1 + 0.82x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.82x = 35 + -1 Combine like terms: 1 + -1 = 0 0 + 0.82x = 35 + -1 0.82x = 35 + -1 Combine like terms: 35 + -1 = 34 0.82x = 34 Divide each side by '0.82'. x = 41.46341463 Simplifying x = 41.46341463
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