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Simplifying 4(3x2 + 12) + -9 = 8x2 + 16 Reorder the terms: 4(12 + 3x2) + -9 = 8x2 + 16 (12 * 4 + 3x2 * 4) + -9 = 8x2 + 16 (48 + 12x2) + -9 = 8x2 + 16 Reorder the terms: 48 + -9 + 12x2 = 8x2 + 16 Combine like terms: 48 + -9 = 39 39 + 12x2 = 8x2 + 16 Reorder the terms: 39 + 12x2 = 16 + 8x2 Solving 39 + 12x2 = 16 + 8x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x2' to each side of the equation. 39 + 12x2 + -8x2 = 16 + 8x2 + -8x2 Combine like terms: 12x2 + -8x2 = 4x2 39 + 4x2 = 16 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 39 + 4x2 = 16 + 0 39 + 4x2 = 16 Add '-39' to each side of the equation. 39 + -39 + 4x2 = 16 + -39 Combine like terms: 39 + -39 = 0 0 + 4x2 = 16 + -39 4x2 = 16 + -39 Combine like terms: 16 + -39 = -23 4x2 = -23 Divide each side by '4'. x2 = -5.75 Simplifying x2 = -5.75 Reorder the terms: 5.75 + x2 = -5.75 + 5.75 Combine like terms: -5.75 + 5.75 = 0.00 5.75 + x2 = 0.00 The solution to this equation could not be determined.
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