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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 = 12x 38 + 12x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 38 + 12x = 12 + 0 38 + 12x = 12 Add '-38' to each side of the equation. 38 + -38 + 12x = 12 + -38 Combine like terms: 38 + -38 = 0 0 + 12x = 12 + -38 12x = 12 + -38 Combine like terms: 12 + -38 = -26 12x = -26 Divide each side by '12'. x = -2.166666667 Simplifying x = -2.166666667
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