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Simplifying 4x2 + 19X + -14 = 7 + -6X Reorder the terms: -14 + 19X + 4x2 = 7 + -6X Solving -14 + 19X + 4x2 = 7 + -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. -14 + 19X + 6X + 4x2 = 7 + -6X + 6X Combine like terms: 19X + 6X = 25X -14 + 25X + 4x2 = 7 + -6X + 6X Combine like terms: -6X + 6X = 0 -14 + 25X + 4x2 = 7 + 0 -14 + 25X + 4x2 = 7 Add '14' to each side of the equation. -14 + 25X + 14 + 4x2 = 7 + 14 Reorder the terms: -14 + 14 + 25X + 4x2 = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 25X + 4x2 = 7 + 14 25X + 4x2 = 7 + 14 Combine like terms: 7 + 14 = 21 25X + 4x2 = 21 Add '-4x2' to each side of the equation. 25X + 4x2 + -4x2 = 21 + -4x2 Combine like terms: 4x2 + -4x2 = 0 25X + 0 = 21 + -4x2 25X = 21 + -4x2 Divide each side by '25'. X = 0.84 + -0.16x2 Simplifying X = 0.84 + -0.16x2
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