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Simplifying 0.5(x + 200) = 0.56x + -356 Reorder the terms: 0.5(200 + x) = 0.56x + -356 (200 * 0.5 + x * 0.5) = 0.56x + -356 (100 + 0.5x) = 0.56x + -356 Reorder the terms: 100 + 0.5x = -356 + 0.56x Solving 100 + 0.5x = -356 + 0.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.56x' to each side of the equation. 100 + 0.5x + -0.56x = -356 + 0.56x + -0.56x Combine like terms: 0.5x + -0.56x = -0.06x 100 + -0.06x = -356 + 0.56x + -0.56x Combine like terms: 0.56x + -0.56x = 0.00 100 + -0.06x = -356 + 0.00 100 + -0.06x = -356 Add '-100' to each side of the equation. 100 + -100 + -0.06x = -356 + -100 Combine like terms: 100 + -100 = 0 0 + -0.06x = -356 + -100 -0.06x = -356 + -100 Combine like terms: -356 + -100 = -456 -0.06x = -456 Divide each side by '-0.06'. x = 7600 Simplifying x = 7600
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