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Simplifying -6(-3x + -1) + -5(1 + -1x) = -68 Reorder the terms: -6(-1 + -3x) + -5(1 + -1x) = -68 (-1 * -6 + -3x * -6) + -5(1 + -1x) = -68 (6 + 18x) + -5(1 + -1x) = -68 6 + 18x + (1 * -5 + -1x * -5) = -68 6 + 18x + (-5 + 5x) = -68 Reorder the terms: 6 + -5 + 18x + 5x = -68 Combine like terms: 6 + -5 = 1 1 + 18x + 5x = -68 Combine like terms: 18x + 5x = 23x 1 + 23x = -68 Solving 1 + 23x = -68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 23x = -68 + -1 Combine like terms: 1 + -1 = 0 0 + 23x = -68 + -1 23x = -68 + -1 Combine like terms: -68 + -1 = -69 23x = -69 Divide each side by '23'. x = -3 Simplifying x = -3
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