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Simplifying 6x + 6(-6x + -24) = 186 Reorder the terms: 6x + 6(-24 + -6x) = 186 6x + (-24 * 6 + -6x * 6) = 186 6x + (-144 + -36x) = 186 Reorder the terms: -144 + 6x + -36x = 186 Combine like terms: 6x + -36x = -30x -144 + -30x = 186 Solving -144 + -30x = 186 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + -30x = 186 + 144 Combine like terms: -144 + 144 = 0 0 + -30x = 186 + 144 -30x = 186 + 144 Combine like terms: 186 + 144 = 330 -30x = 330 Divide each side by '-30'. x = -11 Simplifying x = -11
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