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Simplifying 3x + -1 = 2x + 46 Reorder the terms: -1 + 3x = 2x + 46 Reorder the terms: -1 + 3x = 46 + 2x Solving -1 + 3x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 3x + -2x = 46 + 2x + -2x Combine like terms: 3x + -2x = 1x -1 + 1x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1x = 46 + 0 -1 + 1x = 46 Add '1' to each side of the equation. -1 + 1 + 1x = 46 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 46 + 1 1x = 46 + 1 Combine like terms: 46 + 1 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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