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Simplifying 5x + 52 = 11x + 12 Reorder the terms: 52 + 5x = 11x + 12 Reorder the terms: 52 + 5x = 12 + 11x Solving 52 + 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. 52 + 5x + -11x = 12 + 11x + -11x Combine like terms: 5x + -11x = -6x 52 + -6x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 52 + -6x = 12 + 0 52 + -6x = 12 Add '-52' to each side of the equation. 52 + -52 + -6x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -6x = 12 + -52 -6x = 12 + -52 Combine like terms: 12 + -52 = -40 -6x = -40 Divide each side by '-6'. x = 6.666666667 Simplifying x = 6.666666667
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