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Simplifying 2x + -9x + 67 = 2x + 31 Reorder the terms: 67 + 2x + -9x = 2x + 31 Combine like terms: 2x + -9x = -7x 67 + -7x = 2x + 31 Reorder the terms: 67 + -7x = 31 + 2x Solving 67 + -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. 67 + -7x + -2x = 31 + 2x + -2x Combine like terms: -7x + -2x = -9x 67 + -9x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 67 + -9x = 31 + 0 67 + -9x = 31 Add '-67' to each side of the equation. 67 + -67 + -9x = 31 + -67 Combine like terms: 67 + -67 = 0 0 + -9x = 31 + -67 -9x = 31 + -67 Combine like terms: 31 + -67 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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