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Simplifying (7x) + -24 = (5x) + 14 Reorder the terms: -24 + (7x) = (5x) + 14 Reorder the terms: -24 + (7x) = 14 + (5x) Solving -24 + (7x) = 14 + (5x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-5x)' to each side of the equation. -24 + (7x) + (-5x) = 14 + (5x) + (-5x) Combine like terms: (7x) + (-5x) = 2x -24 + 2x = 14 + (5x) + (-5x) Combine like terms: (5x) + (-5x) = 0 -24 + 2x = 14 + 0 -24 + 2x = 14 Add '24' to each side of the equation. -24 + 24 + 2x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 14 + 24 2x = 14 + 24 Combine like terms: 14 + 24 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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