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Simplifying 2(1 + -5x) = -6(2x + -4) (1 * 2 + -5x * 2) = -6(2x + -4) (2 + -10x) = -6(2x + -4) Reorder the terms: 2 + -10x = -6(-4 + 2x) 2 + -10x = (-4 * -6 + 2x * -6) 2 + -10x = (24 + -12x) Solving 2 + -10x = 24 + -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 = 24 + -12x + 12x Combine like terms: -10x + 12x = 2x 2 + 2x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 2x = 24 + 0 2 + 2x = 24 Add '-2' to each side of the equation. 2 + -2 + 2x = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 24 + -2 2x = 24 + -2 Combine like terms: 24 + -2 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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