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Simplifying -5(7 + -1x) = 20x + -5 (7 * -5 + -1x * -5) = 20x + -5 (-35 + 5x) = 20x + -5 Reorder the terms: -35 + 5x = -5 + 20x Solving -35 + 5x = -5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -35 + 5x + -20x = -5 + 20x + -20x Combine like terms: 5x + -20x = -15x -35 + -15x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 -35 + -15x = -5 + 0 -35 + -15x = -5 Add '35' to each side of the equation. -35 + 35 + -15x = -5 + 35 Combine like terms: -35 + 35 = 0 0 + -15x = -5 + 35 -15x = -5 + 35 Combine like terms: -5 + 35 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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