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Simplifying 5x + 78 = 11x + 12 Reorder the terms: 78 + 5x = 11x + 12 Reorder the terms: 78 + 5x = 12 + 11x Solving 78 + 5x = 12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 78 + 5x + -11x = 12 + 11x + -11x Combine like terms: 5x + -11x = -6x 78 + -6x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 78 + -6x = 12 + 0 78 + -6x = 12 Add '-78' to each side of the equation. 78 + -78 + -6x = 12 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 12 + -78 -6x = 12 + -78 Combine like terms: 12 + -78 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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