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Simplifying 0.17x + 0.19(550 + -1x) = 97 0.17x + (550 * 0.19 + -1x * 0.19) = 97 0.17x + (104.5 + -0.19x) = 97 Reorder the terms: 104.5 + 0.17x + -0.19x = 97 Combine like terms: 0.17x + -0.19x = -0.02x 104.5 + -0.02x = 97 Solving 104.5 + -0.02x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-104.5' to each side of the equation. 104.5 + -104.5 + -0.02x = 97 + -104.5 Combine like terms: 104.5 + -104.5 = 0.0 0.0 + -0.02x = 97 + -104.5 -0.02x = 97 + -104.5 Combine like terms: 97 + -104.5 = -7.5 -0.02x = -7.5 Divide each side by '-0.02'. x = 375 Simplifying x = 375
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