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Simplifying 0.5(x + 100) = 0.55x + -320 Reorder the terms: 0.5(100 + x) = 0.55x + -320 (100 * 0.5 + x * 0.5) = 0.55x + -320 (50 + 0.5x) = 0.55x + -320 Reorder the terms: 50 + 0.5x = -320 + 0.55x Solving 50 + 0.5x = -320 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 50 + 0.5x + -0.55x = -320 + 0.55x + -0.55x Combine like terms: 0.5x + -0.55x = -0.05x 50 + -0.05x = -320 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 50 + -0.05x = -320 + 0.00 50 + -0.05x = -320 Add '-50' to each side of the equation. 50 + -50 + -0.05x = -320 + -50 Combine like terms: 50 + -50 = 0 0 + -0.05x = -320 + -50 -0.05x = -320 + -50 Combine like terms: -320 + -50 = -370 -0.05x = -370 Divide each side by '-0.05'. x = 7400 Simplifying x = 7400
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