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Simplifying 0.4(x + 200) = 0.45x + -275 Reorder the terms: 0.4(200 + x) = 0.45x + -275 (200 * 0.4 + x * 0.4) = 0.45x + -275 (80 + 0.4x) = 0.45x + -275 Reorder the terms: 80 + 0.4x = -275 + 0.45x Solving 80 + 0.4x = -275 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 80 + 0.4x + -0.45x = -275 + 0.45x + -0.45x Combine like terms: 0.4x + -0.45x = -0.05x 80 + -0.05x = -275 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 80 + -0.05x = -275 + 0.00 80 + -0.05x = -275 Add '-80' to each side of the equation. 80 + -80 + -0.05x = -275 + -80 Combine like terms: 80 + -80 = 0 0 + -0.05x = -275 + -80 -0.05x = -275 + -80 Combine like terms: -275 + -80 = -355 -0.05x = -355 Divide each side by '-0.05'. x = 7100 Simplifying x = 7100
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