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Simplifying 5x + -1(3x + -7) + 1 = 0 Reorder the terms: 5x + -1(-7 + 3x) + 1 = 0 5x + (-7 * -1 + 3x * -1) + 1 = 0 5x + (7 + -3x) + 1 = 0 Reorder the terms: 7 + 1 + 5x + -3x = 0 Combine like terms: 7 + 1 = 8 8 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 8 + 2x = 0 Solving 8 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 0 + -8 2x = 0 + -8 Combine like terms: 0 + -8 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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