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Simplifying (8x2 + 1) = (12x2 + 6) Reorder the terms: (1 + 8x2) = (12x2 + 6) Remove parenthesis around (1 + 8x2) 1 + 8x2 = (12x2 + 6) Reorder the terms: 1 + 8x2 = (6 + 12x2) Remove parenthesis around (6 + 12x2) 1 + 8x2 = 6 + 12x2 Solving 1 + 8x2 = 6 + 12x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x2' to each side of the equation. 1 + 8x2 + -12x2 = 6 + 12x2 + -12x2 Combine like terms: 8x2 + -12x2 = -4x2 1 + -4x2 = 6 + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 1 + -4x2 = 6 + 0 1 + -4x2 = 6 Add '-1' to each side of the equation. 1 + -1 + -4x2 = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -4x2 = 6 + -1 -4x2 = 6 + -1 Combine like terms: 6 + -1 = 5 -4x2 = 5 Divide each side by '-4'. x2 = -1.25 Simplifying x2 = -1.25 Reorder the terms: 1.25 + x2 = -1.25 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 1.25 + x2 = 0.00 The solution to this equation could not be determined.
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