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Simplifying (8 + -1x)(x + 7) = 52 + -1x2 Reorder the terms: (8 + -1x)(7 + x) = 52 + -1x2 Multiply (8 + -1x) * (7 + x) (8(7 + x) + -1x * (7 + x)) = 52 + -1x2 ((7 * 8 + x * 8) + -1x * (7 + x)) = 52 + -1x2 ((56 + 8x) + -1x * (7 + x)) = 52 + -1x2 (56 + 8x + (7 * -1x + x * -1x)) = 52 + -1x2 (56 + 8x + (-7x + -1x2)) = 52 + -1x2 Combine like terms: 8x + -7x = 1x (56 + 1x + -1x2) = 52 + -1x2 Add 'x2' to each side of the equation. 56 + 1x + -1x2 + x2 = 52 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 56 + 1x + 0 = 52 + -1x2 + x2 56 + 1x = 52 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 56 + 1x = 52 + 0 56 + 1x = 52 Solving 56 + 1x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 1x = 52 + -56 Combine like terms: 56 + -56 = 0 0 + 1x = 52 + -56 1x = 52 + -56 Combine like terms: 52 + -56 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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