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Simplifying 0.50x + 0.05(4 + -1x) = 0.10(-7) 0.50x + (4 * 0.05 + -1x * 0.05) = 0.10(-7) 0.50x + (0.2 + -0.05x) = 0.10(-7) Reorder the terms: 0.2 + 0.50x + -0.05x = 0.10(-7) Combine like terms: 0.50x + -0.05x = 0.45x 0.2 + 0.45x = 0.10(-7) Multiply 0.10 * -7 0.2 + 0.45x = -0.7 Solving 0.2 + 0.45x = -0.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.45x = -0.7 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.45x = -0.7 + -0.2 0.45x = -0.7 + -0.2 Combine like terms: -0.7 + -0.2 = -0.9 0.45x = -0.9 Divide each side by '0.45'. x = -2 Simplifying x = -2
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