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Simplifying 6x + 46 = 7x + 41 Reorder the terms: 46 + 6x = 7x + 41 Reorder the terms: 46 + 6x = 41 + 7x Solving 46 + 6x = 41 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 46 + 6x + -7x = 41 + 7x + -7x Combine like terms: 6x + -7x = -1x 46 + -1x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 46 + -1x = 41 + 0 46 + -1x = 41 Add '-46' to each side of the equation. 46 + -46 + -1x = 41 + -46 Combine like terms: 46 + -46 = 0 0 + -1x = 41 + -46 -1x = 41 + -46 Combine like terms: 41 + -46 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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