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Simplifying 4x2 + -6x = 4x2 + -3x + -27 Reorder the terms: -6x + 4x2 = 4x2 + -3x + -27 Reorder the terms: -6x + 4x2 = -27 + -3x + 4x2 Add '-4x2' to each side of the equation. -6x + 4x2 + -4x2 = -27 + -3x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + 0 = -27 + -3x + 4x2 + -4x2 -6x = -27 + -3x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x = -27 + -3x + 0 -6x = -27 + -3x Solving -6x = -27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6x + 3x = -27 + -3x + 3x Combine like terms: -6x + 3x = -3x -3x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -3x = -27 + 0 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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