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Simplifying (X + 1) * 2 = x(x + -7) + 19 Reorder the terms: (1 + X) * 2 = x(x + -7) + 19 Reorder the terms for easier multiplication: 2(1 + X) = x(x + -7) + 19 (1 * 2 + X * 2) = x(x + -7) + 19 (2 + 2X) = x(x + -7) + 19 Reorder the terms: 2 + 2X = x(-7 + x) + 19 2 + 2X = (-7 * x + x * x) + 19 2 + 2X = (-7x + x2) + 19 Reorder the terms: 2 + 2X = 19 + -7x + x2 Solving 2 + 2X = 19 + -7x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2X = 19 + -7x + -2 + x2 Combine like terms: 2 + -2 = 0 0 + 2X = 19 + -7x + -2 + x2 2X = 19 + -7x + -2 + x2 Reorder the terms: 2X = 19 + -2 + -7x + x2 Combine like terms: 19 + -2 = 17 2X = 17 + -7x + x2 Divide each side by '2'. X = 8.5 + -3.5x + 0.5x2 Simplifying X = 8.5 + -3.5x + 0.5x2
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