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Simplifying 6x + 6(5x + -13) = -6 Reorder the terms: 6x + 6(-13 + 5x) = -6 6x + (-13 * 6 + 5x * 6) = -6 6x + (-78 + 30x) = -6 Reorder the terms: -78 + 6x + 30x = -6 Combine like terms: 6x + 30x = 36x -78 + 36x = -6 Solving -78 + 36x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 36x = -6 + 78 Combine like terms: -78 + 78 = 0 0 + 36x = -6 + 78 36x = -6 + 78 Combine like terms: -6 + 78 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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