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Simplifying 5(25 + 8.50x) = 5(26.75 + 9.75x) (25 * 5 + 8.50x * 5) = 5(26.75 + 9.75x) (125 + 42.5x) = 5(26.75 + 9.75x) 125 + 42.5x = (26.75 * 5 + 9.75x * 5) 125 + 42.5x = (133.75 + 48.75x) Solving 125 + 42.5x = 133.75 + 48.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48.75x' to each side of the equation. 125 + 42.5x + -48.75x = 133.75 + 48.75x + -48.75x Combine like terms: 42.5x + -48.75x = -6.25x 125 + -6.25x = 133.75 + 48.75x + -48.75x Combine like terms: 48.75x + -48.75x = 0.00 125 + -6.25x = 133.75 + 0.00 125 + -6.25x = 133.75 Add '-125' to each side of the equation. 125 + -125 + -6.25x = 133.75 + -125 Combine like terms: 125 + -125 = 0 0 + -6.25x = 133.75 + -125 -6.25x = 133.75 + -125 Combine like terms: 133.75 + -125 = 8.75 -6.25x = 8.75 Divide each side by '-6.25'. x = -1.4 Simplifying x = -1.4
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