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Simplifying 17.75 + 3x + -5 = 15 + 2.25x Reorder the terms: 17.75 + -5 + 3x = 15 + 2.25x Combine like terms: 17.75 + -5 = 12.75 12.75 + 3x = 15 + 2.25x Solving 12.75 + 3x = 15 + 2.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25x' to each side of the equation. 12.75 + 3x + -2.25x = 15 + 2.25x + -2.25x Combine like terms: 3x + -2.25x = 0.75x 12.75 + 0.75x = 15 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 12.75 + 0.75x = 15 + 0.00 12.75 + 0.75x = 15 Add '-12.75' to each side of the equation. 12.75 + -12.75 + 0.75x = 15 + -12.75 Combine like terms: 12.75 + -12.75 = 0.00 0.00 + 0.75x = 15 + -12.75 0.75x = 15 + -12.75 Combine like terms: 15 + -12.75 = 2.25 0.75x = 2.25 Divide each side by '0.75'. x = 3 Simplifying x = 3
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