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Simplifying 5x + 19 = 3x + 24 Reorder the terms: 19 + 5x = 3x + 24 Reorder the terms: 19 + 5x = 24 + 3x Solving 19 + 5x = 24 + 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. 19 + 5x + -3x = 24 + 3x + -3x Combine like terms: 5x + -3x = 2x 19 + 2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + 2x = 24 + 0 19 + 2x = 24 Add '-19' to each side of the equation. 19 + -19 + 2x = 24 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 24 + -19 2x = 24 + -19 Combine like terms: 24 + -19 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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