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Simplifying 5x2 + 7x + -8 = 5x2 + 8x + 36 Reorder the terms: -8 + 7x + 5x2 = 5x2 + 8x + 36 Reorder the terms: -8 + 7x + 5x2 = 36 + 8x + 5x2 Add '-5x2' to each side of the equation. -8 + 7x + 5x2 + -5x2 = 36 + 8x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -8 + 7x + 0 = 36 + 8x + 5x2 + -5x2 -8 + 7x = 36 + 8x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -8 + 7x = 36 + 8x + 0 -8 + 7x = 36 + 8x Solving -8 + 7x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 7x + -8x = 36 + 8x + -8x Combine like terms: 7x + -8x = -1x -8 + -1x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -1x = 36 + 0 -8 + -1x = 36 Add '8' to each side of the equation. -8 + 8 + -1x = 36 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 36 + 8 -1x = 36 + 8 Combine like terms: 36 + 8 = 44 -1x = 44 Divide each side by '-1'. x = -44 Simplifying x = -44
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