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Simplifying -0.10(73) + 0.50x = 0.05(x + -20) Multiply -0.10 * 73 -7.3 + 0.50x = 0.05(x + -20) Reorder the terms: -7.3 + 0.50x = 0.05(-20 + x) -7.3 + 0.50x = (-20 * 0.05 + x * 0.05) -7.3 + 0.50x = (-1 + 0.05x) Solving -7.3 + 0.50x = -1 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -7.3 + 0.50x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.50x + -0.05x = 0.45x -7.3 + 0.45x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -7.3 + 0.45x = -1 + 0.00 -7.3 + 0.45x = -1 Add '7.3' to each side of the equation. -7.3 + 7.3 + 0.45x = -1 + 7.3 Combine like terms: -7.3 + 7.3 = 0.0 0.0 + 0.45x = -1 + 7.3 0.45x = -1 + 7.3 Combine like terms: -1 + 7.3 = 6.3 0.45x = 6.3 Divide each side by '0.45'. x = 14 Simplifying x = 14
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