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Simplifying -5x + -3(-6x + -13) = 117 Reorder the terms: -5x + -3(-13 + -6x) = 117 -5x + (-13 * -3 + -6x * -3) = 117 -5x + (39 + 18x) = 117 Reorder the terms: 39 + -5x + 18x = 117 Combine like terms: -5x + 18x = 13x 39 + 13x = 117 Solving 39 + 13x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 13x = 117 + -39 Combine like terms: 39 + -39 = 0 0 + 13x = 117 + -39 13x = 117 + -39 Combine like terms: 117 + -39 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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