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Simplifying 7x + -9(x + -1) = 2x + 31 Reorder the terms: 7x + -9(-1 + x) = 2x + 31 7x + (-1 * -9 + x * -9) = 2x + 31 7x + (9 + -9x) = 2x + 31 Reorder the terms: 9 + 7x + -9x = 2x + 31 Combine like terms: 7x + -9x = -2x 9 + -2x = 2x + 31 Reorder the terms: 9 + -2x = 31 + 2x Solving 9 + -2x = 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. 9 + -2x + -2x = 31 + 2x + -2x Combine like terms: -2x + -2x = -4x 9 + -4x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -4x = 31 + 0 9 + -4x = 31 Add '-9' to each side of the equation. 9 + -9 + -4x = 31 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 31 + -9 -4x = 31 + -9 Combine like terms: 31 + -9 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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