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Simplifying 0.4(x + 200) = 0.44x + -208 Reorder the terms: 0.4(200 + x) = 0.44x + -208 (200 * 0.4 + x * 0.4) = 0.44x + -208 (80 + 0.4x) = 0.44x + -208 Reorder the terms: 80 + 0.4x = -208 + 0.44x Solving 80 + 0.4x = -208 + 0.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.44x' to each side of the equation. 80 + 0.4x + -0.44x = -208 + 0.44x + -0.44x Combine like terms: 0.4x + -0.44x = -0.04x 80 + -0.04x = -208 + 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 80 + -0.04x = -208 + 0.00 80 + -0.04x = -208 Add '-80' to each side of the equation. 80 + -80 + -0.04x = -208 + -80 Combine like terms: 80 + -80 = 0 0 + -0.04x = -208 + -80 -0.04x = -208 + -80 Combine like terms: -208 + -80 = -288 -0.04x = -288 Divide each side by '-0.04'. x = 7200 Simplifying x = 7200
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