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Simplifying 0.045x + 0.02 = 0.075x + -0.01 Reorder the terms: 0.02 + 0.045x = 0.075x + -0.01 Reorder the terms: 0.02 + 0.045x = -0.01 + 0.075x Solving 0.02 + 0.045x = -0.01 + 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. 0.02 + 0.045x + -0.075x = -0.01 + 0.075x + -0.075x Combine like terms: 0.045x + -0.075x = -0.03x 0.02 + -0.03x = -0.01 + 0.075x + -0.075x Combine like terms: 0.075x + -0.075x = 0.000 0.02 + -0.03x = -0.01 + 0.000 0.02 + -0.03x = -0.01 Add '-0.02' to each side of the equation. 0.02 + -0.02 + -0.03x = -0.01 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.03x = -0.01 + -0.02 -0.03x = -0.01 + -0.02 Combine like terms: -0.01 + -0.02 = -0.03 -0.03x = -0.03 Divide each side by '-0.03'. x = 1 Simplifying x = 1
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