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Simplifying 0.85 + 0.05(2 + -1x) = 0.10(97) 0.85 + (2 * 0.05 + -1x * 0.05) = 0.10(97) 0.85 + (0.1 + -0.05x) = 0.10(97) Combine like terms: 0.85 + 0.1 = 0.95 0.95 + -0.05x = 0.10(97) Multiply 0.10 * 97 0.95 + -0.05x = 9.7 Solving 0.95 + -0.05x = 9.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.95' to each side of the equation. 0.95 + -0.95 + -0.05x = 9.7 + -0.95 Combine like terms: 0.95 + -0.95 = 0.00 0.00 + -0.05x = 9.7 + -0.95 -0.05x = 9.7 + -0.95 Combine like terms: 9.7 + -0.95 = 8.75 -0.05x = 8.75 Divide each side by '-0.05'. x = -175 Simplifying x = -175
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