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Simplifying 12x + 91 = 7x + 51 Reorder the terms: 91 + 12x = 7x + 51 Reorder the terms: 91 + 12x = 51 + 7x Solving 91 + 12x = 51 + 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. 91 + 12x + -7x = 51 + 7x + -7x Combine like terms: 12x + -7x = 5x 91 + 5x = 51 + 7x + -7x Combine like terms: 7x + -7x = 0 91 + 5x = 51 + 0 91 + 5x = 51 Add '-91' to each side of the equation. 91 + -91 + 5x = 51 + -91 Combine like terms: 91 + -91 = 0 0 + 5x = 51 + -91 5x = 51 + -91 Combine like terms: 51 + -91 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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