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Simplifying 6x + -6(2x + 5) = 4(5x + -1) Reorder the terms: 6x + -6(5 + 2x) = 4(5x + -1) 6x + (5 * -6 + 2x * -6) = 4(5x + -1) 6x + (-30 + -12x) = 4(5x + -1) Reorder the terms: -30 + 6x + -12x = 4(5x + -1) Combine like terms: 6x + -12x = -6x -30 + -6x = 4(5x + -1) Reorder the terms: -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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