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Simplifying (a + 1) * x + 2y + -1 = 0 Reorder the terms: (1 + a) * x + 2y + -1 = 0 Reorder the terms for easier multiplication: x(1 + a) + 2y + -1 = 0 (1 * x + a * x) + 2y + -1 = 0 Reorder the terms: (ax + 1x) + 2y + -1 = 0 (ax + 1x) + 2y + -1 = 0 Reorder the terms: -1 + ax + 1x + 2y = 0 Solving -1 + ax + 1x + 2y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + ax + 1x + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + ax + 1x + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + ax + 1x + 2y = 0 + 1 ax + 1x + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 ax + 1x + 2y = 1 Add '-1x' to each side of the equation. ax + 1x + -1x + 2y = 1 + -1x Combine like terms: 1x + -1x = 0 ax + 0 + 2y = 1 + -1x ax + 2y = 1 + -1x Add '-2y' to each side of the equation. ax + 2y + -2y = 1 + -1x + -2y Combine like terms: 2y + -2y = 0 ax + 0 = 1 + -1x + -2y ax = 1 + -1x + -2y Divide each side by 'x'. a = x-1 + -1 + -2x-1y Simplifying a = x-1 + -1 + -2x-1y Reorder the terms: a = -1 + x-1 + -2x-1y
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