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Simplifying -0.10(53) + 0.50x = 0.05(x + -16) Multiply -0.10 * 53 -5.3 + 0.50x = 0.05(x + -16) Reorder the terms: -5.3 + 0.50x = 0.05(-16 + x) -5.3 + 0.50x = (-16 * 0.05 + x * 0.05) -5.3 + 0.50x = (-0.8 + 0.05x) Solving -5.3 + 0.50x = -0.8 + 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. -5.3 + 0.50x + -0.05x = -0.8 + 0.05x + -0.05x Combine like terms: 0.50x + -0.05x = 0.45x -5.3 + 0.45x = -0.8 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -5.3 + 0.45x = -0.8 + 0.00 -5.3 + 0.45x = -0.8 Add '5.3' to each side of the equation. -5.3 + 5.3 + 0.45x = -0.8 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 0.45x = -0.8 + 5.3 0.45x = -0.8 + 5.3 Combine like terms: -0.8 + 5.3 = 4.5 0.45x = 4.5 Divide each side by '0.45'. x = 10 Simplifying x = 10
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