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Simplifying 12x2 + 9x + -16x + 12 = 12x2 + 30x + -8x + 20 Reorder the terms: 12 + 9x + -16x + 12x2 = 12x2 + 30x + -8x + 20 Combine like terms: 9x + -16x = -7x 12 + -7x + 12x2 = 12x2 + 30x + -8x + 20 Reorder the terms: 12 + -7x + 12x2 = 20 + 30x + -8x + 12x2 Combine like terms: 30x + -8x = 22x 12 + -7x + 12x2 = 20 + 22x + 12x2 Add '-12x2' to each side of the equation. 12 + -7x + 12x2 + -12x2 = 20 + 22x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 12 + -7x + 0 = 20 + 22x + 12x2 + -12x2 12 + -7x = 20 + 22x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 12 + -7x = 20 + 22x + 0 12 + -7x = 20 + 22x Solving 12 + -7x = 20 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 12 + -7x + -22x = 20 + 22x + -22x Combine like terms: -7x + -22x = -29x 12 + -29x = 20 + 22x + -22x Combine like terms: 22x + -22x = 0 12 + -29x = 20 + 0 12 + -29x = 20 Add '-12' to each side of the equation. 12 + -12 + -29x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -29x = 20 + -12 -29x = 20 + -12 Combine like terms: 20 + -12 = 8 -29x = 8 Divide each side by '-29'. x = -0.275862069 Simplifying x = -0.275862069
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