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Simplifying (x + -2)(x + 2) = x(x + 1) + 7 Reorder the terms: (-2 + x)(x + 2) = x(x + 1) + 7 Reorder the terms: (-2 + x)(2 + x) = x(x + 1) + 7 Multiply (-2 + x) * (2 + x) (-2(2 + x) + x(2 + x)) = x(x + 1) + 7 ((2 * -2 + x * -2) + x(2 + x)) = x(x + 1) + 7 ((-4 + -2x) + x(2 + x)) = x(x + 1) + 7 (-4 + -2x + (2 * x + x * x)) = x(x + 1) + 7 (-4 + -2x + (2x + x2)) = x(x + 1) + 7 Combine like terms: -2x + 2x = 0 (-4 + 0 + x2) = x(x + 1) + 7 (-4 + x2) = x(x + 1) + 7 Reorder the terms: -4 + x2 = x(1 + x) + 7 -4 + x2 = (1 * x + x * x) + 7 -4 + x2 = (1x + x2) + 7 Reorder the terms: -4 + x2 = 7 + 1x + x2 Add '-1x2' to each side of the equation. -4 + x2 + -1x2 = 7 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 0 = 7 + 1x + x2 + -1x2 -4 = 7 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 = 7 + 1x + 0 -4 = 7 + 1x Solving -4 = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + -1x = 7 + 0 -4 + -1x = 7 Add '4' to each side of the equation. -4 + 4 + -1x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 7 + 4 -1x = 7 + 4 Combine like terms: 7 + 4 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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