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Simplifying 12x + -19 = 46 + 7x Reorder the terms: -19 + 12x = 46 + 7x Solving -19 + 12x = 46 + 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. -19 + 12x + -7x = 46 + 7x + -7x Combine like terms: 12x + -7x = 5x -19 + 5x = 46 + 7x + -7x Combine like terms: 7x + -7x = 0 -19 + 5x = 46 + 0 -19 + 5x = 46 Add '19' to each side of the equation. -19 + 19 + 5x = 46 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = 46 + 19 5x = 46 + 19 Combine like terms: 46 + 19 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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