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Simplifying 0.055(x + 3000) = 0.08x + 0.05(1000) Reorder the terms: 0.055(3000 + x) = 0.08x + 0.05(1000) (3000 * 0.055 + x * 0.055) = 0.08x + 0.05(1000) (165 + 0.055x) = 0.08x + 0.05(1000) Multiply 0.05 * 1000 165 + 0.055x = 0.08x + 50 Reorder the terms: 165 + 0.055x = 50 + 0.08x Solving 165 + 0.055x = 50 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 165 + 0.055x + -0.08x = 50 + 0.08x + -0.08x Combine like terms: 0.055x + -0.08x = -0.025x 165 + -0.025x = 50 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 165 + -0.025x = 50 + 0.00 165 + -0.025x = 50 Add '-165' to each side of the equation. 165 + -165 + -0.025x = 50 + -165 Combine like terms: 165 + -165 = 0 0 + -0.025x = 50 + -165 -0.025x = 50 + -165 Combine like terms: 50 + -165 = -115 -0.025x = -115 Divide each side by '-0.025'. x = 4600 Simplifying x = 4600
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