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Simplifying 0.04(x) + 0.10(18 + -1x) = 0.06(18) 0.04x + (18 * 0.10 + -1x * 0.10) = 0.06(18) 0.04x + (1.8 + -0.1x) = 0.06(18) Reorder the terms: 1.8 + 0.04x + -0.1x = 0.06(18) Combine like terms: 0.04x + -0.1x = -0.06x 1.8 + -0.06x = 0.06(18) Multiply 0.06 * 18 1.8 + -0.06x = 1.08 Solving 1.8 + -0.06x = 1.08 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.06x = 1.08 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.06x = 1.08 + -1.8 -0.06x = 1.08 + -1.8 Combine like terms: 1.08 + -1.8 = -0.72 -0.06x = -0.72 Divide each side by '-0.06'. x = 12 Simplifying x = 12
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