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Simplifying 2x2 + 3x + -4 = 2x2 + 6x + 5 Reorder the terms: -4 + 3x + 2x2 = 2x2 + 6x + 5 Reorder the terms: -4 + 3x + 2x2 = 5 + 6x + 2x2 Add '-2x2' to each side of the equation. -4 + 3x + 2x2 + -2x2 = 5 + 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4 + 3x + 0 = 5 + 6x + 2x2 + -2x2 -4 + 3x = 5 + 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4 + 3x = 5 + 6x + 0 -4 + 3x = 5 + 6x Solving -4 + 3x = 5 + 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. -4 + 3x + -6x = 5 + 6x + -6x Combine like terms: 3x + -6x = -3x -4 + -3x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -3x = 5 + 0 -4 + -3x = 5 Add '4' to each side of the equation. -4 + 4 + -3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 5 + 4 -3x = 5 + 4 Combine like terms: 5 + 4 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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