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Simplifying 7x + -77 = -2x + 31 Reorder the terms: -77 + 7x = -2x + 31 Reorder the terms: -77 + 7x = 31 + -2x Solving -77 + 7x = 31 + -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. -77 + 7x + 2x = 31 + -2x + 2x Combine like terms: 7x + 2x = 9x -77 + 9x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 -77 + 9x = 31 + 0 -77 + 9x = 31 Add '77' to each side of the equation. -77 + 77 + 9x = 31 + 77 Combine like terms: -77 + 77 = 0 0 + 9x = 31 + 77 9x = 31 + 77 Combine like terms: 31 + 77 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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