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Simplifying (12x * x) + -16x + 9x + -12 = (10x * x) + -35x + (2x * x) + -2 Multiply x * x (12x2) + -16x + 9x + -12 = (10x * x) + -35x + (2x * x) + -2 Reorder the terms: -12 + -16x + 9x + (12x2) = (10x * x) + -35x + (2x * x) + -2 Combine like terms: -16x + 9x = -7x -12 + -7x + (12x2) = (10x * x) + -35x + (2x * x) + -2 Multiply x * x -12 + -7x + (12x2) = (10x2) + -35x + (2x * x) + -2 Multiply x * x -12 + -7x + (12x2) = (10x2) + -35x + (2x2) + -2 Reorder the terms: -12 + -7x + (12x2) = -2 + -35x + (10x2) + (2x2) Combine like terms: (10x2) + (2x2) = 12x2 -12 + -7x + (12x2) = -2 + -35x + 12x2 Add '(-12x2)' to each side of the equation. -12 + -7x + (12x2) + (-12x2) = -2 + -35x + 12x2 + (-12x2) Combine like terms: (12x2) + (-12x2) = 0 -12 + -7x + 0 = -2 + -35x + 12x2 + (-12x2) -12 + -7x = -2 + -35x + 12x2 + (-12x2) Combine like terms: 12x2 + (-12x2) = 0 -12 + -7x = -2 + -35x + 0 -12 + -7x = -2 + -35x Solving -12 + -7x = -2 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -12 + -7x + 35x = -2 + -35x + 35x Combine like terms: -7x + 35x = 28x -12 + 28x = -2 + -35x + 35x Combine like terms: -35x + 35x = 0 -12 + 28x = -2 + 0 -12 + 28x = -2 Add '12' to each side of the equation. -12 + 12 + 28x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 28x = -2 + 12 28x = -2 + 12 Combine like terms: -2 + 12 = 10 28x = 10 Divide each side by '28'. x = 0.3571428571 Simplifying x = 0.3571428571
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