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Simplifying -38 + 12x = 5x + 74 Reorder the terms: -38 + 12x = 74 + 5x Solving -38 + 12x = 74 + 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 + 12x + -5x = 74 + 5x + -5x Combine like terms: 12x + -5x = 7x -38 + 7x = 74 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + 7x = 74 + 0 -38 + 7x = 74 Add '38' to each side of the equation. -38 + 38 + 7x = 74 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 74 + 38 7x = 74 + 38 Combine like terms: 74 + 38 = 112 7x = 112 Divide each side by '7'. x = 16 Simplifying x = 16
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