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Simplifying 0.055(x + 1000) = 0.08x + 0.03(1000) Reorder the terms: 0.055(1000 + x) = 0.08x + 0.03(1000) (1000 * 0.055 + x * 0.055) = 0.08x + 0.03(1000) (55 + 0.055x) = 0.08x + 0.03(1000) Multiply 0.03 * 1000 55 + 0.055x = 0.08x + 30 Reorder the terms: 55 + 0.055x = 30 + 0.08x Solving 55 + 0.055x = 30 + 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. 55 + 0.055x + -0.08x = 30 + 0.08x + -0.08x Combine like terms: 0.055x + -0.08x = -0.025x 55 + -0.025x = 30 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 55 + -0.025x = 30 + 0.00 55 + -0.025x = 30 Add '-55' to each side of the equation. 55 + -55 + -0.025x = 30 + -55 Combine like terms: 55 + -55 = 0 0 + -0.025x = 30 + -55 -0.025x = 30 + -55 Combine like terms: 30 + -55 = -25 -0.025x = -25 Divide each side by '-0.025'. x = 1000 Simplifying x = 1000
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