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Simplifying -5(x + -6) = 5(1 + -6x) Reorder the terms: -5(-6 + x) = 5(1 + -6x) (-6 * -5 + x * -5) = 5(1 + -6x) (30 + -5x) = 5(1 + -6x) 30 + -5x = (1 * 5 + -6x * 5) 30 + -5x = (5 + -30x) Solving 30 + -5x = 5 + -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. 30 + -5x + 30x = 5 + -30x + 30x Combine like terms: -5x + 30x = 25x 30 + 25x = 5 + -30x + 30x Combine like terms: -30x + 30x = 0 30 + 25x = 5 + 0 30 + 25x = 5 Add '-30' to each side of the equation. 30 + -30 + 25x = 5 + -30 Combine like terms: 30 + -30 = 0 0 + 25x = 5 + -30 25x = 5 + -30 Combine like terms: 5 + -30 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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