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Simplifying 1x + 17.05 = 0.45(55 + x) Reorder the terms: 17.05 + 1x = 0.45(55 + x) 17.05 + 1x = (55 * 0.45 + x * 0.45) 17.05 + 1x = (24.75 + 0.45x) Solving 17.05 + 1x = 24.75 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 17.05 + 1x + -0.45x = 24.75 + 0.45x + -0.45x Combine like terms: 1x + -0.45x = 0.55x 17.05 + 0.55x = 24.75 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 17.05 + 0.55x = 24.75 + 0.00 17.05 + 0.55x = 24.75 Add '-17.05' to each side of the equation. 17.05 + -17.05 + 0.55x = 24.75 + -17.05 Combine like terms: 17.05 + -17.05 = 0.00 0.00 + 0.55x = 24.75 + -17.05 0.55x = 24.75 + -17.05 Combine like terms: 24.75 + -17.05 = 7.7 0.55x = 7.7 Divide each side by '0.55'. x = 14 Simplifying x = 14
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