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Simplifying 3x2 + 2x + -12 = 3x2 + 6x Reorder the terms: -12 + 2x + 3x2 = 3x2 + 6x Reorder the terms: -12 + 2x + 3x2 = 6x + 3x2 Add '-3x2' to each side of the equation. -12 + 2x + 3x2 + -3x2 = 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12 + 2x + 0 = 6x + 3x2 + -3x2 -12 + 2x = 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12 + 2x = 6x + 0 -12 + 2x = 6x Solving -12 + 2x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 2x + -6x = 6x + -6x Combine like terms: 2x + -6x = -4x -12 + -4x = 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -4x = 0 Add '12' to each side of the equation. -12 + 12 + -4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 0 + 12 -4x = 0 + 12 Combine like terms: 0 + 12 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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