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Simplifying 0.4x + 0.3(10) = 0.2(x + 30) Multiply 0.3 * 10 0.4x + 3 = 0.2(x + 30) Reorder the terms: 3 + 0.4x = 0.2(x + 30) Reorder the terms: 3 + 0.4x = 0.2(30 + x) 3 + 0.4x = (30 * 0.2 + x * 0.2) 3 + 0.4x = (6 + 0.2x) Solving 3 + 0.4x = 6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 3 + 0.4x + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 3 + 0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3 + 0.2x = 6 + 0.0 3 + 0.2x = 6 Add '-3' to each side of the equation. 3 + -3 + 0.2x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2x = 6 + -3 0.2x = 6 + -3 Combine like terms: 6 + -3 = 3 0.2x = 3 Divide each side by '0.2'. x = 15 Simplifying x = 15
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