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Simplifying 0.075x + 0.085(2000 + -1x) = 162 0.075x + (2000 * 0.085 + -1x * 0.085) = 162 0.075x + (170 + -0.085x) = 162 Reorder the terms: 170 + 0.075x + -0.085x = 162 Combine like terms: 0.075x + -0.085x = -0.01x 170 + -0.01x = 162 Solving 170 + -0.01x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-170' to each side of the equation. 170 + -170 + -0.01x = 162 + -170 Combine like terms: 170 + -170 = 0 0 + -0.01x = 162 + -170 -0.01x = 162 + -170 Combine like terms: 162 + -170 = -8 -0.01x = -8 Divide each side by '-0.01'. x = 800 Simplifying x = 800
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