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Simplifying 9x + 7 = 5x + 31 Reorder the terms: 7 + 9x = 5x + 31 Reorder the terms: 7 + 9x = 31 + 5x Solving 7 + 9x = 31 + 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. 7 + 9x + -5x = 31 + 5x + -5x Combine like terms: 9x + -5x = 4x 7 + 4x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 4x = 31 + 0 7 + 4x = 31 Add '-7' to each side of the equation. 7 + -7 + 4x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 31 + -7 4x = 31 + -7 Combine like terms: 31 + -7 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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