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Simplifying 3x + 4 = 2x + 46 Reorder the terms: 4 + 3x = 2x + 46 Reorder the terms: 4 + 3x = 46 + 2x Solving 4 + 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. 4 + 3x + -2x = 46 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x = 46 + 0 4 + 1x = 46 Add '-4' to each side of the equation. 4 + -4 + 1x = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 46 + -4 1x = 46 + -4 Combine like terms: 46 + -4 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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