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Simplifying 7x + 19 = 5x + 49 Reorder the terms: 19 + 7x = 5x + 49 Reorder the terms: 19 + 7x = 49 + 5x Solving 19 + 7x = 49 + 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. 19 + 7x + -5x = 49 + 5x + -5x Combine like terms: 7x + -5x = 2x 19 + 2x = 49 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + 2x = 49 + 0 19 + 2x = 49 Add '-19' to each side of the equation. 19 + -19 + 2x = 49 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 49 + -19 2x = 49 + -19 Combine like terms: 49 + -19 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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