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Simplifying 12x + -38 = 7x + 27 Reorder the terms: -38 + 12x = 7x + 27 Reorder the terms: -38 + 12x = 27 + 7x Solving -38 + 12x = 27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -38 + 12x + -7x = 27 + 7x + -7x Combine like terms: 12x + -7x = 5x -38 + 5x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 + 5x = 27 + 0 -38 + 5x = 27 Add '38' to each side of the equation. -38 + 38 + 5x = 27 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 27 + 38 5x = 27 + 38 Combine like terms: 27 + 38 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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