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Simplifying 4(3x2 + 32) = 2(2x2 + 5) Reorder the terms: 4(32 + 3x2) = 2(2x2 + 5) (32 * 4 + 3x2 * 4) = 2(2x2 + 5) (128 + 12x2) = 2(2x2 + 5) Reorder the terms: 128 + 12x2 = 2(5 + 2x2) 128 + 12x2 = (5 * 2 + 2x2 * 2) 128 + 12x2 = (10 + 4x2) Solving 128 + 12x2 = 10 + 4x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x2' to each side of the equation. 128 + 12x2 + -4x2 = 10 + 4x2 + -4x2 Combine like terms: 12x2 + -4x2 = 8x2 128 + 8x2 = 10 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 128 + 8x2 = 10 + 0 128 + 8x2 = 10 Add '-128' to each side of the equation. 128 + -128 + 8x2 = 10 + -128 Combine like terms: 128 + -128 = 0 0 + 8x2 = 10 + -128 8x2 = 10 + -128 Combine like terms: 10 + -128 = -118 8x2 = -118 Divide each side by '8'. x2 = -14.75 Simplifying x2 = -14.75 Reorder the terms: 14.75 + x2 = -14.75 + 14.75 Combine like terms: -14.75 + 14.75 = 0.00 14.75 + x2 = 0.00 The solution to this equation could not be determined.
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