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Simplifying 2(6x + 1) = 4(x + -5) + -2 Reorder the terms: 2(1 + 6x) = 4(x + -5) + -2 (1 * 2 + 6x * 2) = 4(x + -5) + -2 (2 + 12x) = 4(x + -5) + -2 Reorder the terms: 2 + 12x = 4(-5 + x) + -2 2 + 12x = (-5 * 4 + x * 4) + -2 2 + 12x = (-20 + 4x) + -2 Reorder the terms: 2 + 12x = -20 + -2 + 4x Combine like terms: -20 + -2 = -22 2 + 12x = -22 + 4x Solving 2 + 12x = -22 + 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 = -22 + 4x + -4x Combine like terms: 12x + -4x = 8x 2 + 8x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 8x = -22 + 0 2 + 8x = -22 Add '-2' to each side of the equation. 2 + -2 + 8x = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -22 + -2 8x = -22 + -2 Combine like terms: -22 + -2 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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