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Simplifying x + 46 = 7x + 16 Reorder the terms: 46 + x = 7x + 16 Reorder the terms: 46 + x = 16 + 7x Solving 46 + x = 16 + 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 + x + -7x = 16 + 7x + -7x Combine like terms: x + -7x = -6x 46 + -6x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 46 + -6x = 16 + 0 46 + -6x = 16 Add '-46' to each side of the equation. 46 + -46 + -6x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = 16 + -46 -6x = 16 + -46 Combine like terms: 16 + -46 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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