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Simplifying x2 + 5x + 6 = x2 + 7x + -8 Reorder the terms: 6 + 5x + x2 = x2 + 7x + -8 Reorder the terms: 6 + 5x + x2 = -8 + 7x + x2 Add '-1x2' to each side of the equation. 6 + 5x + x2 + -1x2 = -8 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x + 0 = -8 + 7x + x2 + -1x2 6 + 5x = -8 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x = -8 + 7x + 0 6 + 5x = -8 + 7x Solving 6 + 5x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 5x + -7x = -8 + 7x + -7x Combine like terms: 5x + -7x = -2x 6 + -2x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -2x = -8 + 0 6 + -2x = -8 Add '-6' to each side of the equation. 6 + -6 + -2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -8 + -6 -2x = -8 + -6 Combine like terms: -8 + -6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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