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Simplifying 7(x + 6 + 2y) = 0 Reorder the terms: 7(6 + x + 2y) = 0 (6 * 7 + x * 7 + 2y * 7) = 0 (42 + 7x + 14y) = 0 Solving 42 + 7x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 7x + -42 + 14y = 0 + -42 Reorder the terms: 42 + -42 + 7x + 14y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7x + 14y = 0 + -42 7x + 14y = 0 + -42 Combine like terms: 0 + -42 = -42 7x + 14y = -42 Add '-14y' to each side of the equation. 7x + 14y + -14y = -42 + -14y Combine like terms: 14y + -14y = 0 7x + 0 = -42 + -14y 7x = -42 + -14y Divide each side by '7'. x = -6 + -2y Simplifying x = -6 + -2y
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