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Simplifying 0.3x + 0.4(20) = 0.1(x + 30) Multiply 0.4 * 20 0.3x + 8 = 0.1(x + 30) Reorder the terms: 8 + 0.3x = 0.1(x + 30) Reorder the terms: 8 + 0.3x = 0.1(30 + x) 8 + 0.3x = (30 * 0.1 + x * 0.1) 8 + 0.3x = (3 + 0.1x) Solving 8 + 0.3x = 3 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 8 + 0.3x + -0.1x = 3 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 8 + 0.2x = 3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 8 + 0.2x = 3 + 0.0 8 + 0.2x = 3 Add '-8' to each side of the equation. 8 + -8 + 0.2x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 0.2x = 3 + -8 0.2x = 3 + -8 Combine like terms: 3 + -8 = -5 0.2x = -5 Divide each side by '0.2'. x = -25 Simplifying x = -25
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