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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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