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Simplifying 7x + 1 = 46 + -2x Reorder the terms: 1 + 7x = 46 + -2x Solving 1 + 7x = 46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 7x + 2x = 46 + -2x + 2x Combine like terms: 7x + 2x = 9x 1 + 9x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 9x = 46 + 0 1 + 9x = 46 Add '-1' to each side of the equation. 1 + -1 + 9x = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 46 + -1 9x = 46 + -1 Combine like terms: 46 + -1 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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