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