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Simplifying -0.1x + 2 = 0.05x + 4.075 Reorder the terms: 2 + -0.1x = 0.05x + 4.075 Reorder the terms: 2 + -0.1x = 4.075 + 0.05x Solving 2 + -0.1x = 4.075 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 2 + -0.1x + -0.05x = 4.075 + 0.05x + -0.05x Combine like terms: -0.1x + -0.05x = -0.15x 2 + -0.15x = 4.075 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 2 + -0.15x = 4.075 + 0.00 2 + -0.15x = 4.075 Add '-2' to each side of the equation. 2 + -2 + -0.15x = 4.075 + -2 Combine like terms: 2 + -2 = 0 0 + -0.15x = 4.075 + -2 -0.15x = 4.075 + -2 Combine like terms: 4.075 + -2 = 2.075 -0.15x = 2.075 Divide each side by '-0.15'. x = -13.83333333 Simplifying x = -13.83333333
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