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Simplifying 12x + 61 = 7x + 31 Reorder the terms: 61 + 12x = 7x + 31 Reorder the terms: 61 + 12x = 31 + 7x Solving 61 + 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. 61 + 12x + -7x = 31 + 7x + -7x Combine like terms: 12x + -7x = 5x 61 + 5x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 61 + 5x = 31 + 0 61 + 5x = 31 Add '-61' to each side of the equation. 61 + -61 + 5x = 31 + -61 Combine like terms: 61 + -61 = 0 0 + 5x = 31 + -61 5x = 31 + -61 Combine like terms: 31 + -61 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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