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Simplifying 0.4x + 0.2(30) = 0.3(x + 30) Multiply 0.2 * 30 0.4x + 6 = 0.3(x + 30) Reorder the terms: 6 + 0.4x = 0.3(x + 30) Reorder the terms: 6 + 0.4x = 0.3(30 + x) 6 + 0.4x = (30 * 0.3 + x * 0.3) 6 + 0.4x = (9 + 0.3x) Solving 6 + 0.4x = 9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 6 + 0.4x + -0.3x = 9 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 6 + 0.1x = 9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 6 + 0.1x = 9 + 0.0 6 + 0.1x = 9 Add '-6' to each side of the equation. 6 + -6 + 0.1x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = 9 + -6 0.1x = 9 + -6 Combine like terms: 9 + -6 = 3 0.1x = 3 Divide each side by '0.1'. x = 30 Simplifying x = 30
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