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