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Simplifying 0.02 = 3.685x + -0.075(100 + -1x) 0.02 = 3.685x + (100 * -0.075 + -1x * -0.075) 0.02 = 3.685x + (-7.5 + 0.075x) Reorder the terms: 0.02 = -7.5 + 3.685x + 0.075x Combine like terms: 3.685x + 0.075x = 3.76x 0.02 = -7.5 + 3.76x Solving 0.02 = -7.5 + 3.76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.76x' to each side of the equation. 0.02 + -3.76x = -7.5 + 3.76x + -3.76x Combine like terms: 3.76x + -3.76x = 0.00 0.02 + -3.76x = -7.5 + 0.00 0.02 + -3.76x = -7.5 Add '-0.02' to each side of the equation. 0.02 + -0.02 + -3.76x = -7.5 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -3.76x = -7.5 + -0.02 -3.76x = -7.5 + -0.02 Combine like terms: -7.5 + -0.02 = -7.52 -3.76x = -7.52 Divide each side by '-3.76'. x = 2 Simplifying x = 2
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