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Simplifying 7x + -2 = 3x + 46 Reorder the terms: -2 + 7x = 3x + 46 Reorder the terms: -2 + 7x = 46 + 3x Solving -2 + 7x = 46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 7x + -3x = 46 + 3x + -3x Combine like terms: 7x + -3x = 4x -2 + 4x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 4x = 46 + 0 -2 + 4x = 46 Add '2' to each side of the equation. -2 + 2 + 4x = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 46 + 2 4x = 46 + 2 Combine like terms: 46 + 2 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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