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Simplifying 1.50x + 3.50(400 + -1x) = 900 1.50x + (400 * 3.50 + -1x * 3.50) = 900 1.50x + (1400 + -3.5x) = 900 Reorder the terms: 1400 + 1.50x + -3.5x = 900 Combine like terms: 1.50x + -3.5x = -2x 1400 + -2x = 900 Solving 1400 + -2x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1400' to each side of the equation. 1400 + -1400 + -2x = 900 + -1400 Combine like terms: 1400 + -1400 = 0 0 + -2x = 900 + -1400 -2x = 900 + -1400 Combine like terms: 900 + -1400 = -500 -2x = -500 Divide each side by '-2'. x = 250 Simplifying x = 250
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