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Simplifying -1(5x + -6) = -1 + 7(1 + -5x) Reorder the terms: -1(-6 + 5x) = -1 + 7(1 + -5x) (-6 * -1 + 5x * -1) = -1 + 7(1 + -5x) (6 + -5x) = -1 + 7(1 + -5x) 6 + -5x = -1 + (1 * 7 + -5x * 7) 6 + -5x = -1 + (7 + -35x) Combine like terms: -1 + 7 = 6 6 + -5x = 6 + -35x Add '-6' to each side of the equation. 6 + -6 + -5x = 6 + -6 + -35x Combine like terms: 6 + -6 = 0 0 + -5x = 6 + -6 + -35x -5x = 6 + -6 + -35x Combine like terms: 6 + -6 = 0 -5x = 0 + -35x -5x = -35x Solving -5x = -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -5x + 35x = -35x + 35x Combine like terms: -5x + 35x = 30x 30x = -35x + 35x Combine like terms: -35x + 35x = 0 30x = 0 Divide each side by '30'. x = 0.0 Simplifying x = 0.0
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