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Simplifying (x2 + 6x + 2) + -1(x2 + 2x + -8) = -2 Reorder the terms: (2 + 6x + x2) + -1(x2 + 2x + -8) = -2 Remove parenthesis around (2 + 6x + x2) 2 + 6x + x2 + -1(x2 + 2x + -8) = -2 Reorder the terms: 2 + 6x + x2 + -1(-8 + 2x + x2) = -2 2 + 6x + x2 + (-8 * -1 + 2x * -1 + x2 * -1) = -2 2 + 6x + x2 + (8 + -2x + -1x2) = -2 Reorder the terms: 2 + 8 + 6x + -2x + x2 + -1x2 = -2 Combine like terms: 2 + 8 = 10 10 + 6x + -2x + x2 + -1x2 = -2 Combine like terms: 6x + -2x = 4x 10 + 4x + x2 + -1x2 = -2 Combine like terms: x2 + -1x2 = 0 10 + 4x + 0 = -2 10 + 4x = -2 Solving 10 + 4x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -2 + -10 4x = -2 + -10 Combine like terms: -2 + -10 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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