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Simplifying 150 + 0.09x = (3000 + x)(0.075) Reorder the terms for easier multiplication: 150 + 0.09x = 0.075(3000 + x) 150 + 0.09x = (3000 * 0.075 + x * 0.075) 150 + 0.09x = (225 + 0.075x) Solving 150 + 0.09x = 225 + 0.075x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.075x' to each side of the equation. 150 + 0.09x + -0.075x = 225 + 0.075x + -0.075x Combine like terms: 0.09x + -0.075x = 0.015x 150 + 0.015x = 225 + 0.075x + -0.075x Combine like terms: 0.075x + -0.075x = 0.000 150 + 0.015x = 225 + 0.000 150 + 0.015x = 225 Add '-150' to each side of the equation. 150 + -150 + 0.015x = 225 + -150 Combine like terms: 150 + -150 = 0 0 + 0.015x = 225 + -150 0.015x = 225 + -150 Combine like terms: 225 + -150 = 75 0.015x = 75 Divide each side by '0.015'. x = 5000 Simplifying x = 5000
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