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Simplifying 2.5x + 3 = -3x + 19.5 Reorder the terms: 3 + 2.5x = -3x + 19.5 Reorder the terms: 3 + 2.5x = 19.5 + -3x Solving 3 + 2.5x = 19.5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + 2.5x + 3x = 19.5 + -3x + 3x Combine like terms: 2.5x + 3x = 5.5x 3 + 5.5x = 19.5 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 5.5x = 19.5 + 0 3 + 5.5x = 19.5 Add '-3' to each side of the equation. 3 + -3 + 5.5x = 19.5 + -3 Combine like terms: 3 + -3 = 0 0 + 5.5x = 19.5 + -3 5.5x = 19.5 + -3 Combine like terms: 19.5 + -3 = 16.5 5.5x = 16.5 Divide each side by '5.5'. x = 3 Simplifying x = 3
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