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Simplifying 2(6x + 1) = 4(x + -5) Reorder the terms: 2(1 + 6x) = 4(x + -5) (1 * 2 + 6x * 2) = 4(x + -5) (2 + 12x) = 4(x + -5) Reorder the terms: 2 + 12x = 4(-5 + x) 2 + 12x = (-5 * 4 + x * 4) 2 + 12x = (-20 + 4x) Solving 2 + 12x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 12x + -4x = -20 + 4x + -4x Combine like terms: 12x + -4x = 8x 2 + 8x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 8x = -20 + 0 2 + 8x = -20 Add '-2' to each side of the equation. 2 + -2 + 8x = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -20 + -2 8x = -20 + -2 Combine like terms: -20 + -2 = -22 8x = -22 Divide each side by '8'. x = -2.75 Simplifying x = -2.75
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