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Simplifying 12x + 26 = 3x + 278 Reorder the terms: 26 + 12x = 3x + 278 Reorder the terms: 26 + 12x = 278 + 3x Solving 26 + 12x = 278 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 26 + 12x + -3x = 278 + 3x + -3x Combine like terms: 12x + -3x = 9x 26 + 9x = 278 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + 9x = 278 + 0 26 + 9x = 278 Add '-26' to each side of the equation. 26 + -26 + 9x = 278 + -26 Combine like terms: 26 + -26 = 0 0 + 9x = 278 + -26 9x = 278 + -26 Combine like terms: 278 + -26 = 252 9x = 252 Divide each side by '9'. x = 28 Simplifying x = 28
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