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Simplifying 4 + 7x = 46 + 1x Solving 4 + 7x = 46 + 1x 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. 4 + 7x + -1x = 46 + 1x + -1x Combine like terms: 7x + -1x = 6x 4 + 6x = 46 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 6x = 46 + 0 4 + 6x = 46 Add '-4' to each side of the equation. 4 + -4 + 6x = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 46 + -4 6x = 46 + -4 Combine like terms: 46 + -4 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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