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Simplifying 12x2 = 4x(1 + 3x) + -16 12x2 = (1 * 4x + 3x * 4x) + -16 12x2 = (4x + 12x2) + -16 Reorder the terms: 12x2 = -16 + 4x + 12x2 Add '-12x2' to each side of the equation. 12x2 + -12x2 = -16 + 4x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 0 = -16 + 4x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 0 = -16 + 4x + 0 0 = -16 + 4x Solving 0 = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 0 + -4x = -16 + 4x + -4x Remove the zero: -4x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -4x = -16 + 0 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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