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Simplifying 4x2 + 9 + -4x = 4x2 + x + 9 Reorder the terms: 9 + -4x + 4x2 = 4x2 + x + 9 Reorder the terms: 9 + -4x + 4x2 = 9 + x + 4x2 Add '-9' to each side of the equation. 9 + -4x + -9 + 4x2 = 9 + x + -9 + 4x2 Reorder the terms: 9 + -9 + -4x + 4x2 = 9 + x + -9 + 4x2 Combine like terms: 9 + -9 = 0 0 + -4x + 4x2 = 9 + x + -9 + 4x2 -4x + 4x2 = 9 + x + -9 + 4x2 Reorder the terms: -4x + 4x2 = 9 + -9 + x + 4x2 Combine like terms: 9 + -9 = 0 -4x + 4x2 = 0 + x + 4x2 -4x + 4x2 = x + 4x2 Add '-4x2' to each side of the equation. -4x + 4x2 + -4x2 = x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + 0 = x + 4x2 + -4x2 -4x = x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x = x + 0 -4x = x Solving -4x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4x + -1x = x + -1x Combine like terms: -4x + -1x = -5x -5x = x + -1x Combine like terms: x + -1x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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