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Simplifying -12 = 3(x + -2) + 6(-1 + 6y) Reorder the terms: -12 = 3(-2 + x) + 6(-1 + 6y) -12 = (-2 * 3 + x * 3) + 6(-1 + 6y) -12 = (-6 + 3x) + 6(-1 + 6y) -12 = -6 + 3x + (-1 * 6 + 6y * 6) -12 = -6 + 3x + (-6 + 36y) Reorder the terms: -12 = -6 + -6 + 3x + 36y Combine like terms: -6 + -6 = -12 -12 = -12 + 3x + 36y Add '12' to each side of the equation. -12 + 12 = -12 + 3x + 12 + 36y Combine like terms: -12 + 12 = 0 0 = -12 + 3x + 12 + 36y Reorder the terms: 0 = -12 + 12 + 3x + 36y Combine like terms: -12 + 12 = 0 0 = 0 + 3x + 36y 0 = 3x + 36y Solving 0 = 3x + 36y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0 + -3x = 3x + -3x + 36y Remove the zero: -3x = 3x + -3x + 36y Combine like terms: 3x + -3x = 0 -3x = 0 + 36y -3x = 36y Divide each side by '-3'. x = -12y Simplifying x = -12y
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