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Simplifying 3(0.2x + 3) = 0.2(2x + 50) Reorder the terms: 3(3 + 0.2x) = 0.2(2x + 50) (3 * 3 + 0.2x * 3) = 0.2(2x + 50) (9 + 0.6x) = 0.2(2x + 50) Reorder the terms: 9 + 0.6x = 0.2(50 + 2x) 9 + 0.6x = (50 * 0.2 + 2x * 0.2) 9 + 0.6x = (10 + 0.4x) Solving 9 + 0.6x = 10 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 9 + 0.6x + -0.4x = 10 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 9 + 0.2x = 10 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 9 + 0.2x = 10 + 0.0 9 + 0.2x = 10 Add '-9' to each side of the equation. 9 + -9 + 0.2x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 0.2x = 10 + -9 0.2x = 10 + -9 Combine like terms: 10 + -9 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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