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Simplifying (x2 + -3x + w) = (5x2 + -3x + -8) Reorder the terms: (w + -3x + x2) = (5x2 + -3x + -8) Remove parenthesis around (w + -3x + x2) w + -3x + x2 = (5x2 + -3x + -8) Reorder the terms: w + -3x + x2 = (-8 + -3x + 5x2) Remove parenthesis around (-8 + -3x + 5x2) w + -3x + x2 = -8 + -3x + 5x2 Add '3x' to each side of the equation. w + -3x + 3x + x2 = -8 + -3x + 3x + 5x2 Combine like terms: -3x + 3x = 0 w + 0 + x2 = -8 + -3x + 3x + 5x2 w + x2 = -8 + -3x + 3x + 5x2 Combine like terms: -3x + 3x = 0 w + x2 = -8 + 0 + 5x2 w + x2 = -8 + 5x2 Solving w + x2 = -8 + 5x2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x2' to each side of the equation. w + x2 + -1x2 = -8 + 5x2 + -1x2 Combine like terms: x2 + -1x2 = 0 w + 0 = -8 + 5x2 + -1x2 w = -8 + 5x2 + -1x2 Combine like terms: 5x2 + -1x2 = 4x2 w = -8 + 4x2 Simplifying w = -8 + 4x2
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