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Simplifying 0.55 + 0.05(12 + -1x) = 0.10(46) 0.55 + (12 * 0.05 + -1x * 0.05) = 0.10(46) 0.55 + (0.6 + -0.05x) = 0.10(46) Combine like terms: 0.55 + 0.6 = 1.15 1.15 + -0.05x = 0.10(46) Multiply 0.10 * 46 1.15 + -0.05x = 4.6 Solving 1.15 + -0.05x = 4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.15' to each side of the equation. 1.15 + -1.15 + -0.05x = 4.6 + -1.15 Combine like terms: 1.15 + -1.15 = 0.00 0.00 + -0.05x = 4.6 + -1.15 -0.05x = 4.6 + -1.15 Combine like terms: 4.6 + -1.15 = 3.45 -0.05x = 3.45 Divide each side by '-0.05'. x = -69 Simplifying x = -69
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