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Simplifying 0.05(x) + 0.10(6) = x(0.06) Multiply 0.10 * 6 0.05x + 0.6 = x(0.06) Reorder the terms: 0.6 + 0.05x = x(0.06) Reorder the terms for easier multiplication: 0.6 + 0.05x = 0.06x Solving 0.6 + 0.05x = 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. 0.6 + 0.05x + -0.06x = 0.06x + -0.06x Combine like terms: 0.05x + -0.06x = -0.01x 0.6 + -0.01x = 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.6 + -0.01x = 0.00 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.01x = 0.00 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.01x = 0.00 + -0.6 -0.01x = 0.00 + -0.6 Combine like terms: 0.00 + -0.6 = -0.6 -0.01x = -0.6 Divide each side by '-0.01'. x = 60 Simplifying x = 60
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