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Simplifying 3x + 46 = x + 6 Reorder the terms: 46 + 3x = x + 6 Reorder the terms: 46 + 3x = 6 + x Solving 46 + 3x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 46 + 3x + -1x = 6 + x + -1x Combine like terms: 3x + -1x = 2x 46 + 2x = 6 + x + -1x Combine like terms: x + -1x = 0 46 + 2x = 6 + 0 46 + 2x = 6 Add '-46' to each side of the equation. 46 + -46 + 2x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 6 + -46 2x = 6 + -46 Combine like terms: 6 + -46 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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