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Simplifying (x2 + 8x + 7) + -1(x2 + -2x + 1) = 36 Reorder the terms: (7 + 8x + x2) + -1(x2 + -2x + 1) = 36 Remove parenthesis around (7 + 8x + x2) 7 + 8x + x2 + -1(x2 + -2x + 1) = 36 Reorder the terms: 7 + 8x + x2 + -1(1 + -2x + x2) = 36 7 + 8x + x2 + (1 * -1 + -2x * -1 + x2 * -1) = 36 7 + 8x + x2 + (-1 + 2x + -1x2) = 36 Reorder the terms: 7 + -1 + 8x + 2x + x2 + -1x2 = 36 Combine like terms: 7 + -1 = 6 6 + 8x + 2x + x2 + -1x2 = 36 Combine like terms: 8x + 2x = 10x 6 + 10x + x2 + -1x2 = 36 Combine like terms: x2 + -1x2 = 0 6 + 10x + 0 = 36 6 + 10x = 36 Solving 6 + 10x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 10x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 36 + -6 10x = 36 + -6 Combine like terms: 36 + -6 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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