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Simplifying 0.075(x + 2000) = 0.08x + 0.07(2000) Reorder the terms: 0.075(2000 + x) = 0.08x + 0.07(2000) (2000 * 0.075 + x * 0.075) = 0.08x + 0.07(2000) (150 + 0.075x) = 0.08x + 0.07(2000) Multiply 0.07 * 2000 150 + 0.075x = 0.08x + 140 Reorder the terms: 150 + 0.075x = 140 + 0.08x Solving 150 + 0.075x = 140 + 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. 150 + 0.075x + -0.08x = 140 + 0.08x + -0.08x Combine like terms: 0.075x + -0.08x = -0.005x 150 + -0.005x = 140 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 150 + -0.005x = 140 + 0.00 150 + -0.005x = 140 Add '-150' to each side of the equation. 150 + -150 + -0.005x = 140 + -150 Combine like terms: 150 + -150 = 0 0 + -0.005x = 140 + -150 -0.005x = 140 + -150 Combine like terms: 140 + -150 = -10 -0.005x = -10 Divide each side by '-0.005'. x = 2000 Simplifying x = 2000
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