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Simplifying 0.05x + 10 = 0.06(x + 50) Reorder the terms: 10 + 0.05x = 0.06(x + 50) Reorder the terms: 10 + 0.05x = 0.06(50 + x) 10 + 0.05x = (50 * 0.06 + x * 0.06) 10 + 0.05x = (3 + 0.06x) Solving 10 + 0.05x = 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. 10 + 0.05x + -0.06x = 3 + 0.06x + -0.06x Combine like terms: 0.05x + -0.06x = -0.01x 10 + -0.01x = 3 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 10 + -0.01x = 3 + 0.00 10 + -0.01x = 3 Add '-10' to each side of the equation. 10 + -10 + -0.01x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -0.01x = 3 + -10 -0.01x = 3 + -10 Combine like terms: 3 + -10 = -7 -0.01x = -7 Divide each side by '-0.01'. x = 700 Simplifying x = 700
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