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Simplifying 6x + -6x + 1 = ax2 + -6x + 1 Reorder the terms: 1 + 6x + -6x = ax2 + -6x + 1 Combine like terms: 6x + -6x = 0 1 + 0 = ax2 + -6x + 1 1 = ax2 + -6x + 1 Reorder the terms: 1 = 1 + ax2 + -6x Add '-1' to each side of the equation. 1 + -1 = 1 + ax2 + -1 + -6x Combine like terms: 1 + -1 = 0 0 = 1 + ax2 + -1 + -6x Reorder the terms: 0 = 1 + -1 + ax2 + -6x Combine like terms: 1 + -1 = 0 0 = 0 + ax2 + -6x 0 = ax2 + -6x Solving 0 = ax2 + -6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ax2' to each side of the equation. 0 + -1ax2 = ax2 + -1ax2 + -6x Remove the zero: -1ax2 = ax2 + -1ax2 + -6x Combine like terms: ax2 + -1ax2 = 0 -1ax2 = 0 + -6x -1ax2 = -6x Divide each side by '-1x2'. a = 6x-1 Simplifying a = 6x-1
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