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Simplifying 40 + 15 + 0.25x = 45 + 45x Combine like terms: 40 + 15 = 55 55 + 0.25x = 45 + 45x Solving 55 + 0.25x = 45 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 55 + 0.25x + -45x = 45 + 45x + -45x Combine like terms: 0.25x + -45x = -44.75x 55 + -44.75x = 45 + 45x + -45x Combine like terms: 45x + -45x = 0 55 + -44.75x = 45 + 0 55 + -44.75x = 45 Add '-55' to each side of the equation. 55 + -55 + -44.75x = 45 + -55 Combine like terms: 55 + -55 = 0 0 + -44.75x = 45 + -55 -44.75x = 45 + -55 Combine like terms: 45 + -55 = -10 -44.75x = -10 Divide each side by '-44.75'. x = 0.2234636872 Simplifying x = 0.2234636872
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