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Simplifying (5x + -1) + -1(-3x + 7) = 0 Reorder the terms: (-1 + 5x) + -1(-3x + 7) = 0 Remove parenthesis around (-1 + 5x) -1 + 5x + -1(-3x + 7) = 0 Reorder the terms: -1 + 5x + -1(7 + -3x) = 0 -1 + 5x + (7 * -1 + -3x * -1) = 0 -1 + 5x + (-7 + 3x) = 0 Reorder the terms: -1 + -7 + 5x + 3x = 0 Combine like terms: -1 + -7 = -8 -8 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -8 + 8x = 0 Solving -8 + 8x = 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 + 8x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 0 + 8 8x = 0 + 8 Combine like terms: 0 + 8 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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