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Simplifying (x + 5) * 2 + 7(y + 5) + 6 = 0 Reorder the terms: (5 + x) * 2 + 7(y + 5) + 6 = 0 Reorder the terms for easier multiplication: 2(5 + x) + 7(y + 5) + 6 = 0 (5 * 2 + x * 2) + 7(y + 5) + 6 = 0 (10 + 2x) + 7(y + 5) + 6 = 0 Reorder the terms: 10 + 2x + 7(5 + y) + 6 = 0 10 + 2x + (5 * 7 + y * 7) + 6 = 0 10 + 2x + (35 + 7y) + 6 = 0 Reorder the terms: 10 + 35 + 6 + 2x + 7y = 0 Combine like terms: 10 + 35 = 45 45 + 6 + 2x + 7y = 0 Combine like terms: 45 + 6 = 51 51 + 2x + 7y = 0 Solving 51 + 2x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + 2x + -51 + 7y = 0 + -51 Reorder the terms: 51 + -51 + 2x + 7y = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 2x + 7y = 0 + -51 2x + 7y = 0 + -51 Combine like terms: 0 + -51 = -51 2x + 7y = -51 Add '-7y' to each side of the equation. 2x + 7y + -7y = -51 + -7y Combine like terms: 7y + -7y = 0 2x + 0 = -51 + -7y 2x = -51 + -7y Divide each side by '2'. x = -25.5 + -3.5y Simplifying x = -25.5 + -3.5y
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