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Simplifying (5x + 1) + -1(3x + -5) = 4 Reorder the terms: (1 + 5x) + -1(3x + -5) = 4 Remove parenthesis around (1 + 5x) 1 + 5x + -1(3x + -5) = 4 Reorder the terms: 1 + 5x + -1(-5 + 3x) = 4 1 + 5x + (-5 * -1 + 3x * -1) = 4 1 + 5x + (5 + -3x) = 4 Reorder the terms: 1 + 5 + 5x + -3x = 4 Combine like terms: 1 + 5 = 6 6 + 5x + -3x = 4 Combine like terms: 5x + -3x = 2x 6 + 2x = 4 Solving 6 + 2x = 4 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 + 2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 4 + -6 2x = 4 + -6 Combine like terms: 4 + -6 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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