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Simplifying (2.5x + 15) = 5.75x + 34.5 Reorder the terms: (15 + 2.5x) = 5.75x + 34.5 Remove parenthesis around (15 + 2.5x) 15 + 2.5x = 5.75x + 34.5 Reorder the terms: 15 + 2.5x = 34.5 + 5.75x Solving 15 + 2.5x = 34.5 + 5.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.75x' to each side of the equation. 15 + 2.5x + -5.75x = 34.5 + 5.75x + -5.75x Combine like terms: 2.5x + -5.75x = -3.25x 15 + -3.25x = 34.5 + 5.75x + -5.75x Combine like terms: 5.75x + -5.75x = 0.00 15 + -3.25x = 34.5 + 0.00 15 + -3.25x = 34.5 Add '-15' to each side of the equation. 15 + -15 + -3.25x = 34.5 + -15 Combine like terms: 15 + -15 = 0 0 + -3.25x = 34.5 + -15 -3.25x = 34.5 + -15 Combine like terms: 34.5 + -15 = 19.5 -3.25x = 19.5 Divide each side by '-3.25'. x = -6 Simplifying x = -6
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