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Simplifying 3x + -1(7x + -5) = 1 Reorder the terms: 3x + -1(-5 + 7x) = 1 3x + (-5 * -1 + 7x * -1) = 1 3x + (5 + -7x) = 1 Reorder the terms: 5 + 3x + -7x = 1 Combine like terms: 3x + -7x = -4x 5 + -4x = 1 Solving 5 + -4x = 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 + -4x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 1 + -5 -4x = 1 + -5 Combine like terms: 1 + -5 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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