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Simplifying 7x + -10 = 5x + 38 Reorder the terms: -10 + 7x = 5x + 38 Reorder the terms: -10 + 7x = 38 + 5x Solving -10 + 7x = 38 + 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. -10 + 7x + -5x = 38 + 5x + -5x Combine like terms: 7x + -5x = 2x -10 + 2x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 2x = 38 + 0 -10 + 2x = 38 Add '10' to each side of the equation. -10 + 10 + 2x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 38 + 10 2x = 38 + 10 Combine like terms: 38 + 10 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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