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Simplifying 7x + 16 = x + 46 Reorder the terms: 16 + 7x = x + 46 Reorder the terms: 16 + 7x = 46 + x Solving 16 + 7x = 46 + 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. 16 + 7x + -1x = 46 + x + -1x Combine like terms: 7x + -1x = 6x 16 + 6x = 46 + x + -1x Combine like terms: x + -1x = 0 16 + 6x = 46 + 0 16 + 6x = 46 Add '-16' to each side of the equation. 16 + -16 + 6x = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 46 + -16 6x = 46 + -16 Combine like terms: 46 + -16 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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