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Simplifying 0.05(x) + 0.20(10 + -1x) = 0.15(10) 0.05x + (10 * 0.20 + -1x * 0.20) = 0.15(10) 0.05x + (2 + -0.2x) = 0.15(10) Reorder the terms: 2 + 0.05x + -0.2x = 0.15(10) Combine like terms: 0.05x + -0.2x = -0.15x 2 + -0.15x = 0.15(10) Multiply 0.15 * 10 2 + -0.15x = 1.5 Solving 2 + -0.15x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -0.15x = 1.5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.15x = 1.5 + -2 -0.15x = 1.5 + -2 Combine like terms: 1.5 + -2 = -0.5 -0.15x = -0.5 Divide each side by '-0.15'. x = 3.333333333 Simplifying x = 3.333333333
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