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Simplifying 0.04(6) + 0.10(x) = 0.06(6 + x) Multiply 0.04 * 6 0.24 + 0.10(x) = 0.06(6 + x) 0.24 + 0.10x = (6 * 0.06 + x * 0.06) 0.24 + 0.10x = (0.36 + 0.06x) Solving 0.24 + 0.10x = 0.36 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 0.24 + 0.10x + -0.06x = 0.36 + 0.06x + -0.06x Combine like terms: 0.10x + -0.06x = 0.04x 0.24 + 0.04x = 0.36 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.24 + 0.04x = 0.36 + 0.00 0.24 + 0.04x = 0.36 Add '-0.24' to each side of the equation. 0.24 + -0.24 + 0.04x = 0.36 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 0.04x = 0.36 + -0.24 0.04x = 0.36 + -0.24 Combine like terms: 0.36 + -0.24 = 0.12 0.04x = 0.12 Divide each side by '0.04'. x = 3 Simplifying x = 3
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