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Simplifying 7x2 + 6X + 10 = 3x2 + -2x + 6 Reorder the terms: 10 + 6X + 7x2 = 3x2 + -2x + 6 Reorder the terms: 10 + 6X + 7x2 = 6 + -2x + 3x2 Solving 10 + 6X + 7x2 = 6 + -2x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6X + -10 + 7x2 = 6 + -2x + -10 + 3x2 Reorder the terms: 10 + -10 + 6X + 7x2 = 6 + -2x + -10 + 3x2 Combine like terms: 10 + -10 = 0 0 + 6X + 7x2 = 6 + -2x + -10 + 3x2 6X + 7x2 = 6 + -2x + -10 + 3x2 Reorder the terms: 6X + 7x2 = 6 + -10 + -2x + 3x2 Combine like terms: 6 + -10 = -4 6X + 7x2 = -4 + -2x + 3x2 Add '-7x2' to each side of the equation. 6X + 7x2 + -7x2 = -4 + -2x + 3x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 6X + 0 = -4 + -2x + 3x2 + -7x2 6X = -4 + -2x + 3x2 + -7x2 Combine like terms: 3x2 + -7x2 = -4x2 6X = -4 + -2x + -4x2 Divide each side by '6'. X = -0.6666666667 + -0.3333333333x + -0.6666666667x2 Simplifying X = -0.6666666667 + -0.3333333333x + -0.6666666667x2
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