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