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Simplifying 0.375x + 0.4x + 180 + 270 = x Reorder the terms: 180 + 270 + 0.375x + 0.4x = x Combine like terms: 180 + 270 = 450 450 + 0.375x + 0.4x = x Combine like terms: 0.375x + 0.4x = 0.775x 450 + 0.775x = x Solving 450 + 0.775x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 450 + 0.775x + -1x = x + -1x Combine like terms: 0.775x + -1x = -0.225x 450 + -0.225x = x + -1x Combine like terms: x + -1x = 0 450 + -0.225x = 0 Add '-450' to each side of the equation. 450 + -450 + -0.225x = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -0.225x = 0 + -450 -0.225x = 0 + -450 Combine like terms: 0 + -450 = -450 -0.225x = -450 Divide each side by '-0.225'. x = 2000 Simplifying x = 2000
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