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Simplifying 0.5(x + 200) = 0.54x + -196 Reorder the terms: 0.5(200 + x) = 0.54x + -196 (200 * 0.5 + x * 0.5) = 0.54x + -196 (100 + 0.5x) = 0.54x + -196 Reorder the terms: 100 + 0.5x = -196 + 0.54x Solving 100 + 0.5x = -196 + 0.54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.54x' to each side of the equation. 100 + 0.5x + -0.54x = -196 + 0.54x + -0.54x Combine like terms: 0.5x + -0.54x = -0.04x 100 + -0.04x = -196 + 0.54x + -0.54x Combine like terms: 0.54x + -0.54x = 0.00 100 + -0.04x = -196 + 0.00 100 + -0.04x = -196 Add '-100' to each side of the equation. 100 + -100 + -0.04x = -196 + -100 Combine like terms: 100 + -100 = 0 0 + -0.04x = -196 + -100 -0.04x = -196 + -100 Combine like terms: -196 + -100 = -296 -0.04x = -296 Divide each side by '-0.04'. x = 7400 Simplifying x = 7400
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