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Simplifying 0.30x + 0.90(400) = 0.60(400 + x) Multiply 0.90 * 400 0.30x + 360 = 0.60(400 + x) Reorder the terms: 360 + 0.30x = 0.60(400 + x) 360 + 0.30x = (400 * 0.60 + x * 0.60) 360 + 0.30x = (240 + 0.60x) Solving 360 + 0.30x = 240 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 360 + 0.30x + -0.60x = 240 + 0.60x + -0.60x Combine like terms: 0.30x + -0.60x = -0.3x 360 + -0.3x = 240 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 360 + -0.3x = 240 + 0.00 360 + -0.3x = 240 Add '-360' to each side of the equation. 360 + -360 + -0.3x = 240 + -360 Combine like terms: 360 + -360 = 0 0 + -0.3x = 240 + -360 -0.3x = 240 + -360 Combine like terms: 240 + -360 = -120 -0.3x = -120 Divide each side by '-0.3'. x = 400 Simplifying x = 400
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