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Simplifying 0.10(91) + 0.08x = 0.05(x + -2) Multiply 0.10 * 91 9.1 + 0.08x = 0.05(x + -2) Reorder the terms: 9.1 + 0.08x = 0.05(-2 + x) 9.1 + 0.08x = (-2 * 0.05 + x * 0.05) 9.1 + 0.08x = (-0.1 + 0.05x) Solving 9.1 + 0.08x = -0.1 + 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. 9.1 + 0.08x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: 0.08x + -0.05x = 0.03x 9.1 + 0.03x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 9.1 + 0.03x = -0.1 + 0.00 9.1 + 0.03x = -0.1 Add '-9.1' to each side of the equation. 9.1 + -9.1 + 0.03x = -0.1 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + 0.03x = -0.1 + -9.1 0.03x = -0.1 + -9.1 Combine like terms: -0.1 + -9.1 = -9.2 0.03x = -9.2 Divide each side by '0.03'. x = -306.6666667 Simplifying x = -306.6666667
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