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Simplifying -13 + 7x = 9x + 31 Reorder the terms: -13 + 7x = 31 + 9x Solving -13 + 7x = 31 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 7x + -9x = 31 + 9x + -9x Combine like terms: 7x + -9x = -2x -13 + -2x = 31 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -2x = 31 + 0 -13 + -2x = 31 Add '13' to each side of the equation. -13 + 13 + -2x = 31 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 31 + 13 -2x = 31 + 13 Combine like terms: 31 + 13 = 44 -2x = 44 Divide each side by '-2'. x = -22 Simplifying x = -22
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