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Simplifying 7x + 61 = 12x + 26 Reorder the terms: 61 + 7x = 12x + 26 Reorder the terms: 61 + 7x = 26 + 12x Solving 61 + 7x = 26 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 61 + 7x + -12x = 26 + 12x + -12x Combine like terms: 7x + -12x = -5x 61 + -5x = 26 + 12x + -12x Combine like terms: 12x + -12x = 0 61 + -5x = 26 + 0 61 + -5x = 26 Add '-61' to each side of the equation. 61 + -61 + -5x = 26 + -61 Combine like terms: 61 + -61 = 0 0 + -5x = 26 + -61 -5x = 26 + -61 Combine like terms: 26 + -61 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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