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Simplifying 3x2 + -5x + 3 = 2x2 + 4x + -7 + x2 Reorder the terms: 3 + -5x + 3x2 = 2x2 + 4x + -7 + x2 Reorder the terms: 3 + -5x + 3x2 = -7 + 4x + 2x2 + x2 Combine like terms: 2x2 + x2 = 3x2 3 + -5x + 3x2 = -7 + 4x + 3x2 Add '-3x2' to each side of the equation. 3 + -5x + 3x2 + -3x2 = -7 + 4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 3 + -5x + 0 = -7 + 4x + 3x2 + -3x2 3 + -5x = -7 + 4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 3 + -5x = -7 + 4x + 0 3 + -5x = -7 + 4x Solving 3 + -5x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -5x + -4x = -7 + 4x + -4x Combine like terms: -5x + -4x = -9x 3 + -9x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -9x = -7 + 0 3 + -9x = -7 Add '-3' to each side of the equation. 3 + -3 + -9x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -7 + -3 -9x = -7 + -3 Combine like terms: -7 + -3 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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