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Simplifying -108 = -6(-7 + 5x) -108 = (-7 * -6 + 5x * -6) -108 = (42 + -30x) Solving -108 = 42 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -108 + 30x = 42 + -30x + 30x Combine like terms: -30x + 30x = 0 -108 + 30x = 42 + 0 -108 + 30x = 42 Add '108' to each side of the equation. -108 + 108 + 30x = 42 + 108 Combine like terms: -108 + 108 = 0 0 + 30x = 42 + 108 30x = 42 + 108 Combine like terms: 42 + 108 = 150 30x = 150 Divide each side by '30'. x = 5 Simplifying x = 5
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