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Simplifying 11x + 12 = 6x + 102 Reorder the terms: 12 + 11x = 6x + 102 Reorder the terms: 12 + 11x = 102 + 6x Solving 12 + 11x = 102 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 11x + -6x = 102 + 6x + -6x Combine like terms: 11x + -6x = 5x 12 + 5x = 102 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 5x = 102 + 0 12 + 5x = 102 Add '-12' to each side of the equation. 12 + -12 + 5x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 102 + -12 5x = 102 + -12 Combine like terms: 102 + -12 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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