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Simplifying 0.075(x + 3000) = 0.08x + 0.05(1000) Reorder the terms: 0.075(3000 + x) = 0.08x + 0.05(1000) (3000 * 0.075 + x * 0.075) = 0.08x + 0.05(1000) (225 + 0.075x) = 0.08x + 0.05(1000) Multiply 0.05 * 1000 225 + 0.075x = 0.08x + 50 Reorder the terms: 225 + 0.075x = 50 + 0.08x Solving 225 + 0.075x = 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. 225 + 0.075x + -0.08x = 50 + 0.08x + -0.08x Combine like terms: 0.075x + -0.08x = -0.005x 225 + -0.005x = 50 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 225 + -0.005x = 50 + 0.00 225 + -0.005x = 50 Add '-225' to each side of the equation. 225 + -225 + -0.005x = 50 + -225 Combine like terms: 225 + -225 = 0 0 + -0.005x = 50 + -225 -0.005x = 50 + -225 Combine like terms: 50 + -225 = -175 -0.005x = -175 Divide each side by '-0.005'. x = 35000 Simplifying x = 35000
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