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Simplifying 0.4x + 0.5(20) = 0.1(x + 40) Multiply 0.5 * 20 0.4x + 10 = 0.1(x + 40) Reorder the terms: 10 + 0.4x = 0.1(x + 40) Reorder the terms: 10 + 0.4x = 0.1(40 + x) 10 + 0.4x = (40 * 0.1 + x * 0.1) 10 + 0.4x = (4 + 0.1x) Solving 10 + 0.4x = 4 + 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. 10 + 0.4x + -0.1x = 4 + 0.1x + -0.1x Combine like terms: 0.4x + -0.1x = 0.3x 10 + 0.3x = 4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 10 + 0.3x = 4 + 0.0 10 + 0.3x = 4 Add '-10' to each side of the equation. 10 + -10 + 0.3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 0.3x = 4 + -10 0.3x = 4 + -10 Combine like terms: 4 + -10 = -6 0.3x = -6 Divide each side by '0.3'. x = -20 Simplifying x = -20
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