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Simplifying -6(x + 6) + 2y = 42 Reorder the terms: -6(6 + x) + 2y = 42 (6 * -6 + x * -6) + 2y = 42 (-36 + -6x) + 2y = 42 Solving -36 + -6x + 2y = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -6x + 36 + 2y = 42 + 36 Reorder the terms: -36 + 36 + -6x + 2y = 42 + 36 Combine like terms: -36 + 36 = 0 0 + -6x + 2y = 42 + 36 -6x + 2y = 42 + 36 Combine like terms: 42 + 36 = 78 -6x + 2y = 78 Add '-2y' to each side of the equation. -6x + 2y + -2y = 78 + -2y Combine like terms: 2y + -2y = 0 -6x + 0 = 78 + -2y -6x = 78 + -2y Divide each side by '-6'. x = -13 + 0.3333333333y Simplifying x = -13 + 0.3333333333y
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