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Simplifying 12x + 7 + 4 = 6x + 17 + 14 + x Reorder the terms: 7 + 4 + 12x = 6x + 17 + 14 + x Combine like terms: 7 + 4 = 11 11 + 12x = 6x + 17 + 14 + x Reorder the terms: 11 + 12x = 17 + 14 + 6x + x Combine like terms: 17 + 14 = 31 11 + 12x = 31 + 6x + x Combine like terms: 6x + x = 7x 11 + 12x = 31 + 7x Solving 11 + 12x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 12x + -7x = 31 + 7x + -7x Combine like terms: 12x + -7x = 5x 11 + 5x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 5x = 31 + 0 11 + 5x = 31 Add '-11' to each side of the equation. 11 + -11 + 5x = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 31 + -11 5x = 31 + -11 Combine like terms: 31 + -11 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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