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Simplifying 0.45 + 0.05(6 + -1x) = 0.10(11) 0.45 + (6 * 0.05 + -1x * 0.05) = 0.10(11) 0.45 + (0.3 + -0.05x) = 0.10(11) Combine like terms: 0.45 + 0.3 = 0.75 0.75 + -0.05x = 0.10(11) Multiply 0.10 * 11 0.75 + -0.05x = 1.1 Solving 0.75 + -0.05x = 1.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.05x = 1.1 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.05x = 1.1 + -0.75 -0.05x = 1.1 + -0.75 Combine like terms: 1.1 + -0.75 = 0.35 -0.05x = 0.35 Divide each side by '-0.05'. x = -7 Simplifying x = -7
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