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Simplifying 1 + 7x = -3x + 121 Reorder the terms: 1 + 7x = 121 + -3x Solving 1 + 7x = 121 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 7x + 3x = 121 + -3x + 3x Combine like terms: 7x + 3x = 10x 1 + 10x = 121 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 10x = 121 + 0 1 + 10x = 121 Add '-1' to each side of the equation. 1 + -1 + 10x = 121 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 121 + -1 10x = 121 + -1 Combine like terms: 121 + -1 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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