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Simplifying 0.5(x + 200) = 0.58x + -476 Reorder the terms: 0.5(200 + x) = 0.58x + -476 (200 * 0.5 + x * 0.5) = 0.58x + -476 (100 + 0.5x) = 0.58x + -476 Reorder the terms: 100 + 0.5x = -476 + 0.58x Solving 100 + 0.5x = -476 + 0.58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.58x' to each side of the equation. 100 + 0.5x + -0.58x = -476 + 0.58x + -0.58x Combine like terms: 0.5x + -0.58x = -0.08x 100 + -0.08x = -476 + 0.58x + -0.58x Combine like terms: 0.58x + -0.58x = 0.00 100 + -0.08x = -476 + 0.00 100 + -0.08x = -476 Add '-100' to each side of the equation. 100 + -100 + -0.08x = -476 + -100 Combine like terms: 100 + -100 = 0 0 + -0.08x = -476 + -100 -0.08x = -476 + -100 Combine like terms: -476 + -100 = -576 -0.08x = -576 Divide each side by '-0.08'. x = 7200 Simplifying x = 7200
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