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Simplifying 4(1 + -5x) + 6 = -26 + -8x (1 * 4 + -5x * 4) + 6 = -26 + -8x (4 + -20x) + 6 = -26 + -8x Reorder the terms: 4 + 6 + -20x = -26 + -8x Combine like terms: 4 + 6 = 10 10 + -20x = -26 + -8x Solving 10 + -20x = -26 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -20x + 8x = -26 + -8x + 8x Combine like terms: -20x + 8x = -12x 10 + -12x = -26 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + -12x = -26 + 0 10 + -12x = -26 Add '-10' to each side of the equation. 10 + -10 + -12x = -26 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -26 + -10 -12x = -26 + -10 Combine like terms: -26 + -10 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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