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Simplifying 40 + 15.25x + 9.50x = 45.99 + 18x + 6.75 Combine like terms: 15.25x + 9.50x = 24.75x 40 + 24.75x = 45.99 + 18x + 6.75 Reorder the terms: 40 + 24.75x = 45.99 + 6.75 + 18x Combine like terms: 45.99 + 6.75 = 52.74 40 + 24.75x = 52.74 + 18x Solving 40 + 24.75x = 52.74 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 40 + 24.75x + -18x = 52.74 + 18x + -18x Combine like terms: 24.75x + -18x = 6.75x 40 + 6.75x = 52.74 + 18x + -18x Combine like terms: 18x + -18x = 0 40 + 6.75x = 52.74 + 0 40 + 6.75x = 52.74 Add '-40' to each side of the equation. 40 + -40 + 6.75x = 52.74 + -40 Combine like terms: 40 + -40 = 0 0 + 6.75x = 52.74 + -40 6.75x = 52.74 + -40 Combine like terms: 52.74 + -40 = 12.74 6.75x = 12.74 Divide each side by '6.75'. x = 1.887407407 Simplifying x = 1.887407407
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