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Simplifying 0.50x + 0.10(360 + -1x) = 0.40(360) 0.50x + (360 * 0.10 + -1x * 0.10) = 0.40(360) 0.50x + (36 + -0.1x) = 0.40(360) Reorder the terms: 36 + 0.50x + -0.1x = 0.40(360) Combine like terms: 0.50x + -0.1x = 0.4x 36 + 0.4x = 0.40(360) Multiply 0.40 * 360 36 + 0.4x = 144 Solving 36 + 0.4x = 144 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 0.4x = 144 + -36 Combine like terms: 36 + -36 = 0 0 + 0.4x = 144 + -36 0.4x = 144 + -36 Combine like terms: 144 + -36 = 108 0.4x = 108 Divide each side by '0.4'. x = 270 Simplifying x = 270
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