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Simplifying 6x + 7(-6x + 13) = -161 Reorder the terms: 6x + 7(13 + -6x) = -161 6x + (13 * 7 + -6x * 7) = -161 6x + (91 + -42x) = -161 Reorder the terms: 91 + 6x + -42x = -161 Combine like terms: 6x + -42x = -36x 91 + -36x = -161 Solving 91 + -36x = -161 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + -36x = -161 + -91 Combine like terms: 91 + -91 = 0 0 + -36x = -161 + -91 -36x = -161 + -91 Combine like terms: -161 + -91 = -252 -36x = -252 Divide each side by '-36'. x = 7 Simplifying x = 7
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