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Simplifying -38 = 7x + 17 + -12x Reorder the terms: -38 = 17 + 7x + -12x Combine like terms: 7x + -12x = -5x -38 = 17 + -5x Solving -38 = 17 + -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 + 5x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -38 + 5x = 17 + 0 -38 + 5x = 17 Add '38' to each side of the equation. -38 + 38 + 5x = 17 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 17 + 38 5x = 17 + 38 Combine like terms: 17 + 38 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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