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Simplifying 11x2 + 4x + -7 = 11x2 + -14x + -7 Reorder the terms: -7 + 4x + 11x2 = 11x2 + -14x + -7 Reorder the terms: -7 + 4x + 11x2 = -7 + -14x + 11x2 Add '7' to each side of the equation. -7 + 4x + 7 + 11x2 = -7 + -14x + 7 + 11x2 Reorder the terms: -7 + 7 + 4x + 11x2 = -7 + -14x + 7 + 11x2 Combine like terms: -7 + 7 = 0 0 + 4x + 11x2 = -7 + -14x + 7 + 11x2 4x + 11x2 = -7 + -14x + 7 + 11x2 Reorder the terms: 4x + 11x2 = -7 + 7 + -14x + 11x2 Combine like terms: -7 + 7 = 0 4x + 11x2 = 0 + -14x + 11x2 4x + 11x2 = -14x + 11x2 Add '-11x2' to each side of the equation. 4x + 11x2 + -11x2 = -14x + 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 4x + 0 = -14x + 11x2 + -11x2 4x = -14x + 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 4x = -14x + 0 4x = -14x Solving 4x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 4x + 14x = -14x + 14x Combine like terms: 4x + 14x = 18x 18x = -14x + 14x Combine like terms: -14x + 14x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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