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Simplifying 6x + -1(5x + -5) = 1 Reorder the terms: 6x + -1(-5 + 5x) = 1 6x + (-5 * -1 + 5x * -1) = 1 6x + (5 + -5x) = 1 Reorder the terms: 5 + 6x + -5x = 1 Combine like terms: 6x + -5x = 1x 5 + 1x = 1 Solving 5 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 1 + -5 1x = 1 + -5 Combine like terms: 1 + -5 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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