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Simplifying 0.95X + 0.05(10 + -1x) = 0.10(-31) 0.95X + (10 * 0.05 + -1x * 0.05) = 0.10(-31) 0.95X + (0.5 + -0.05x) = 0.10(-31) Reorder the terms: 0.5 + 0.95X + -0.05x = 0.10(-31) Multiply 0.10 * -31 0.5 + 0.95X + -0.05x = -3.1 Solving 0.5 + 0.95X + -0.05x = -3.1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + 0.95X + -0.5 + -0.05x = -3.1 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.95X + -0.05x = -3.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.95X + -0.05x = -3.1 + -0.5 0.95X + -0.05x = -3.1 + -0.5 Combine like terms: -3.1 + -0.5 = -3.6 0.95X + -0.05x = -3.6 Add '0.05x' to each side of the equation. 0.95X + -0.05x + 0.05x = -3.6 + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 0.95X + 0.00 = -3.6 + 0.05x 0.95X = -3.6 + 0.05x Divide each side by '0.95'. X = -3.789473684 + 0.05263157895x Simplifying X = -3.789473684 + 0.05263157895x
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