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Simplifying 0.1(x + 60) + -0.04(x + -10) = 9.4 Reorder the terms: 0.1(60 + x) + -0.04(x + -10) = 9.4 (60 * 0.1 + x * 0.1) + -0.04(x + -10) = 9.4 (6 + 0.1x) + -0.04(x + -10) = 9.4 Reorder the terms: 6 + 0.1x + -0.04(-10 + x) = 9.4 6 + 0.1x + (-10 * -0.04 + x * -0.04) = 9.4 6 + 0.1x + (0.4 + -0.04x) = 9.4 Reorder the terms: 6 + 0.4 + 0.1x + -0.04x = 9.4 Combine like terms: 6 + 0.4 = 6.4 6.4 + 0.1x + -0.04x = 9.4 Combine like terms: 0.1x + -0.04x = 0.06x 6.4 + 0.06x = 9.4 Solving 6.4 + 0.06x = 9.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.4' to each side of the equation. 6.4 + -6.4 + 0.06x = 9.4 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 0.06x = 9.4 + -6.4 0.06x = 9.4 + -6.4 Combine like terms: 9.4 + -6.4 = 3 0.06x = 3 Divide each side by '0.06'. x = 50 Simplifying x = 50
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