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