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Simplifying (-7x + 1) + -1(-6x + -5) = 1 Reorder the terms: (1 + -7x) + -1(-6x + -5) = 1 Remove parenthesis around (1 + -7x) 1 + -7x + -1(-6x + -5) = 1 Reorder the terms: 1 + -7x + -1(-5 + -6x) = 1 1 + -7x + (-5 * -1 + -6x * -1) = 1 1 + -7x + (5 + 6x) = 1 Reorder the terms: 1 + 5 + -7x + 6x = 1 Combine like terms: 1 + 5 = 6 6 + -7x + 6x = 1 Combine like terms: -7x + 6x = -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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