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Simplifying 0.1(x + 40) + -0.06(x + -20) = 6.4 Reorder the terms: 0.1(40 + x) + -0.06(x + -20) = 6.4 (40 * 0.1 + x * 0.1) + -0.06(x + -20) = 6.4 (4 + 0.1x) + -0.06(x + -20) = 6.4 Reorder the terms: 4 + 0.1x + -0.06(-20 + x) = 6.4 4 + 0.1x + (-20 * -0.06 + x * -0.06) = 6.4 4 + 0.1x + (1.2 + -0.06x) = 6.4 Reorder the terms: 4 + 1.2 + 0.1x + -0.06x = 6.4 Combine like terms: 4 + 1.2 = 5.2 5.2 + 0.1x + -0.06x = 6.4 Combine like terms: 0.1x + -0.06x = 0.04x 5.2 + 0.04x = 6.4 Solving 5.2 + 0.04x = 6.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2' to each side of the equation. 5.2 + -5.2 + 0.04x = 6.4 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 0.04x = 6.4 + -5.2 0.04x = 6.4 + -5.2 Combine like terms: 6.4 + -5.2 = 1.2 0.04x = 1.2 Divide each side by '0.04'. x = 30 Simplifying x = 30
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