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Simplifying x2 + -1x + 55 = x2 + 4x + 5 Reorder the terms: 55 + -1x + x2 = x2 + 4x + 5 Reorder the terms: 55 + -1x + x2 = 5 + 4x + x2 Add '-1x2' to each side of the equation. 55 + -1x + x2 + -1x2 = 5 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 55 + -1x + 0 = 5 + 4x + x2 + -1x2 55 + -1x = 5 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 55 + -1x = 5 + 4x + 0 55 + -1x = 5 + 4x Solving 55 + -1x = 5 + 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. 55 + -1x + -4x = 5 + 4x + -4x Combine like terms: -1x + -4x = -5x 55 + -5x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 55 + -5x = 5 + 0 55 + -5x = 5 Add '-55' to each side of the equation. 55 + -55 + -5x = 5 + -55 Combine like terms: 55 + -55 = 0 0 + -5x = 5 + -55 -5x = 5 + -55 Combine like terms: 5 + -55 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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