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Simplifying 3x + -4 = 46 + -7x Reorder the terms: -4 + 3x = 46 + -7x Solving -4 + 3x = 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. -4 + 3x + 7x = 46 + -7x + 7x Combine like terms: 3x + 7x = 10x -4 + 10x = 46 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 10x = 46 + 0 -4 + 10x = 46 Add '4' to each side of the equation. -4 + 4 + 10x = 46 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 46 + 4 10x = 46 + 4 Combine like terms: 46 + 4 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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