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Simplifying 2(1 + -5x) = 6(2x + -1) (1 * 2 + -5x * 2) = 6(2x + -1) (2 + -10x) = 6(2x + -1) Reorder the terms: 2 + -10x = 6(-1 + 2x) 2 + -10x = (-1 * 6 + 2x * 6) 2 + -10x = (-6 + 12x) Solving 2 + -10x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + -10x + -12x = -6 + 12x + -12x Combine like terms: -10x + -12x = -22x 2 + -22x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -22x = -6 + 0 2 + -22x = -6 Add '-2' to each side of the equation. 2 + -2 + -22x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -22x = -6 + -2 -22x = -6 + -2 Combine like terms: -6 + -2 = -8 -22x = -8 Divide each side by '-22'. x = 0.3636363636 Simplifying x = 0.3636363636
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