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Simplifying x + 12 = 61 + -5x Reorder the terms: 12 + x = 61 + -5x Solving 12 + x = 61 + -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. 12 + x + 5x = 61 + -5x + 5x Combine like terms: x + 5x = 6x 12 + 6x = 61 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 6x = 61 + 0 12 + 6x = 61 Add '-12' to each side of the equation. 12 + -12 + 6x = 61 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 61 + -12 6x = 61 + -12 Combine like terms: 61 + -12 = 49 6x = 49 Divide each side by '6'. x = 8.166666667 Simplifying x = 8.166666667
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