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Simplifying 0.45 + 0.05(10 + -1x) = 0.10(-59) 0.45 + (10 * 0.05 + -1x * 0.05) = 0.10(-59) 0.45 + (0.5 + -0.05x) = 0.10(-59) Combine like terms: 0.45 + 0.5 = 0.95 0.95 + -0.05x = 0.10(-59) Multiply 0.10 * -59 0.95 + -0.05x = -5.9 Solving 0.95 + -0.05x = -5.9 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 = -5.9 + -0.95 Combine like terms: 0.95 + -0.95 = 0.00 0.00 + -0.05x = -5.9 + -0.95 -0.05x = -5.9 + -0.95 Combine like terms: -5.9 + -0.95 = -6.85 -0.05x = -6.85 Divide each side by '-0.05'. x = 137 Simplifying x = 137
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