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Simplifying x2 + 7x + 6 = x2 + -8x Reorder the terms: 6 + 7x + x2 = x2 + -8x Reorder the terms: 6 + 7x + x2 = -8x + x2 Add '-1x2' to each side of the equation. 6 + 7x + x2 + -1x2 = -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 7x + 0 = -8x + x2 + -1x2 6 + 7x = -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 7x = -8x + 0 6 + 7x = -8x Solving 6 + 7x = -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. 6 + 7x + 8x = -8x + 8x Combine like terms: 7x + 8x = 15x 6 + 15x = -8x + 8x Combine like terms: -8x + 8x = 0 6 + 15x = 0 Add '-6' to each side of the equation. 6 + -6 + 15x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 0 + -6 15x = 0 + -6 Combine like terms: 0 + -6 = -6 15x = -6 Divide each side by '15'. x = -0.4 Simplifying x = -0.4
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