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Simplifying 0.02(50) + 0.50x = 0.30(50 + x) Multiply 0.02 * 50 1 + 0.50x = 0.30(50 + x) 1 + 0.50x = (50 * 0.30 + x * 0.30) 1 + 0.50x = (15 + 0.30x) Solving 1 + 0.50x = 15 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 1 + 0.50x + -0.30x = 15 + 0.30x + -0.30x Combine like terms: 0.50x + -0.30x = 0.2x 1 + 0.2x = 15 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 1 + 0.2x = 15 + 0.00 1 + 0.2x = 15 Add '-1' to each side of the equation. 1 + -1 + 0.2x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2x = 15 + -1 0.2x = 15 + -1 Combine like terms: 15 + -1 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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