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Simplifying 0.4(x + 100) = 0.45x + -320 Reorder the terms: 0.4(100 + x) = 0.45x + -320 (100 * 0.4 + x * 0.4) = 0.45x + -320 (40 + 0.4x) = 0.45x + -320 Reorder the terms: 40 + 0.4x = -320 + 0.45x Solving 40 + 0.4x = -320 + 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. 40 + 0.4x + -0.45x = -320 + 0.45x + -0.45x Combine like terms: 0.4x + -0.45x = -0.05x 40 + -0.05x = -320 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 40 + -0.05x = -320 + 0.00 40 + -0.05x = -320 Add '-40' to each side of the equation. 40 + -40 + -0.05x = -320 + -40 Combine like terms: 40 + -40 = 0 0 + -0.05x = -320 + -40 -0.05x = -320 + -40 Combine like terms: -320 + -40 = -360 -0.05x = -360 Divide each side by '-0.05'. x = 7200 Simplifying x = 7200
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