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Simplifying 2x + -7x + 67 = 3x + 35 Reorder the terms: 67 + 2x + -7x = 3x + 35 Combine like terms: 2x + -7x = -5x 67 + -5x = 3x + 35 Reorder the terms: 67 + -5x = 35 + 3x Solving 67 + -5x = 35 + 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. 67 + -5x + -3x = 35 + 3x + -3x Combine like terms: -5x + -3x = -8x 67 + -8x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 67 + -8x = 35 + 0 67 + -8x = 35 Add '-67' to each side of the equation. 67 + -67 + -8x = 35 + -67 Combine like terms: 67 + -67 = 0 0 + -8x = 35 + -67 -8x = 35 + -67 Combine like terms: 35 + -67 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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