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Simplifying -6(x + -5) = 4(1 + 5x) Reorder the terms: -6(-5 + x) = 4(1 + 5x) (-5 * -6 + x * -6) = 4(1 + 5x) (30 + -6x) = 4(1 + 5x) 30 + -6x = (1 * 4 + 5x * 4) 30 + -6x = (4 + 20x) Solving 30 + -6x = 4 + 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. 30 + -6x + -20x = 4 + 20x + -20x Combine like terms: -6x + -20x = -26x 30 + -26x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -26x = 4 + 0 30 + -26x = 4 Add '-30' to each side of the equation. 30 + -30 + -26x = 4 + -30 Combine like terms: 30 + -30 = 0 0 + -26x = 4 + -30 -26x = 4 + -30 Combine like terms: 4 + -30 = -26 -26x = -26 Divide each side by '-26'. x = 1 Simplifying x = 1
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