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Simplifying 0.90x + 0.40(100 + -1x) = 170 0.90x + (100 * 0.40 + -1x * 0.40) = 170 0.90x + (40 + -0.4x) = 170 Reorder the terms: 40 + 0.90x + -0.4x = 170 Combine like terms: 0.90x + -0.4x = 0.5x 40 + 0.5x = 170 Solving 40 + 0.5x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.5x = 170 + -40 Combine like terms: 40 + -40 = 0 0 + 0.5x = 170 + -40 0.5x = 170 + -40 Combine like terms: 170 + -40 = 130 0.5x = 130 Divide each side by '0.5'. x = 260 Simplifying x = 260
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