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Simplifying 0.04(x) + 0.10(30 + -1x) = 0.06(30) 0.04x + (30 * 0.10 + -1x * 0.10) = 0.06(30) 0.04x + (3 + -0.1x) = 0.06(30) Reorder the terms: 3 + 0.04x + -0.1x = 0.06(30) Combine like terms: 0.04x + -0.1x = -0.06x 3 + -0.06x = 0.06(30) Multiply 0.06 * 30 3 + -0.06x = 1.8 Solving 3 + -0.06x = 1.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -0.06x = 1.8 + -3 Combine like terms: 3 + -3 = 0 0 + -0.06x = 1.8 + -3 -0.06x = 1.8 + -3 Combine like terms: 1.8 + -3 = -1.2 -0.06x = -1.2 Divide each side by '-0.06'. x = 20 Simplifying x = 20
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