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Simplifying 0.10x + (5)(0.04) = (x + 5)(0.06) Multiply 5 * 0.04 0.10x + 0.2 = (x + 5)(0.06) Reorder the terms: 0.2 + 0.10x = (x + 5)(0.06) Reorder the terms: 0.2 + 0.10x = (5 + x)(0.06) Reorder the terms for easier multiplication: 0.2 + 0.10x = 0.06(5 + x) 0.2 + 0.10x = (5 * 0.06 + x * 0.06) 0.2 + 0.10x = (0.3 + 0.06x) Solving 0.2 + 0.10x = 0.3 + 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. 0.2 + 0.10x + -0.06x = 0.3 + 0.06x + -0.06x Combine like terms: 0.10x + -0.06x = 0.04x 0.2 + 0.04x = 0.3 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.2 + 0.04x = 0.3 + 0.00 0.2 + 0.04x = 0.3 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.04x = 0.3 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.04x = 0.3 + -0.2 0.04x = 0.3 + -0.2 Combine like terms: 0.3 + -0.2 = 0.1 0.04x = 0.1 Divide each side by '0.04'. x = 2.5 Simplifying x = 2.5
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