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Simplifying 5x + -7x + 67 = 5x + 32 Reorder the terms: 67 + 5x + -7x = 5x + 32 Combine like terms: 5x + -7x = -2x 67 + -2x = 5x + 32 Reorder the terms: 67 + -2x = 32 + 5x Solving 67 + -2x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 67 + -2x + -5x = 32 + 5x + -5x Combine like terms: -2x + -5x = -7x 67 + -7x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 67 + -7x = 32 + 0 67 + -7x = 32 Add '-67' to each side of the equation. 67 + -67 + -7x = 32 + -67 Combine like terms: 67 + -67 = 0 0 + -7x = 32 + -67 -7x = 32 + -67 Combine like terms: 32 + -67 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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