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Simplifying 0.40x + 0.90(400) = 0.50(x + 400) Multiply 0.90 * 400 0.40x + 360 = 0.50(x + 400) Reorder the terms: 360 + 0.40x = 0.50(x + 400) Reorder the terms: 360 + 0.40x = 0.50(400 + x) 360 + 0.40x = (400 * 0.50 + x * 0.50) 360 + 0.40x = (200 + 0.50x) Solving 360 + 0.40x = 200 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 360 + 0.40x + -0.50x = 200 + 0.50x + -0.50x Combine like terms: 0.40x + -0.50x = -0.1x 360 + -0.1x = 200 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 360 + -0.1x = 200 + 0.00 360 + -0.1x = 200 Add '-360' to each side of the equation. 360 + -360 + -0.1x = 200 + -360 Combine like terms: 360 + -360 = 0 0 + -0.1x = 200 + -360 -0.1x = 200 + -360 Combine like terms: 200 + -360 = -160 -0.1x = -160 Divide each side by '-0.1'. x = 1600 Simplifying x = 1600
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