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Simplifying 7x + -38 = 5x + 12 Reorder the terms: -38 + 7x = 5x + 12 Reorder the terms: -38 + 7x = 12 + 5x Solving -38 + 7x = 12 + 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. -38 + 7x + -5x = 12 + 5x + -5x Combine like terms: 7x + -5x = 2x -38 + 2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + 2x = 12 + 0 -38 + 2x = 12 Add '38' to each side of the equation. -38 + 38 + 2x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 12 + 38 2x = 12 + 38 Combine like terms: 12 + 38 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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