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Simplifying 5.5x + 18 = 6.75x + 13 Reorder the terms: 18 + 5.5x = 6.75x + 13 Reorder the terms: 18 + 5.5x = 13 + 6.75x Solving 18 + 5.5x = 13 + 6.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75x' to each side of the equation. 18 + 5.5x + -6.75x = 13 + 6.75x + -6.75x Combine like terms: 5.5x + -6.75x = -1.25x 18 + -1.25x = 13 + 6.75x + -6.75x Combine like terms: 6.75x + -6.75x = 0.00 18 + -1.25x = 13 + 0.00 18 + -1.25x = 13 Add '-18' to each side of the equation. 18 + -18 + -1.25x = 13 + -18 Combine like terms: 18 + -18 = 0 0 + -1.25x = 13 + -18 -1.25x = 13 + -18 Combine like terms: 13 + -18 = -5 -1.25x = -5 Divide each side by '-1.25'. x = 4 Simplifying x = 4
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