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Simplifying 2(6x + 2) = 4(x + -5) + -2 Reorder the terms: 2(2 + 6x) = 4(x + -5) + -2 (2 * 2 + 6x * 2) = 4(x + -5) + -2 (4 + 12x) = 4(x + -5) + -2 Reorder the terms: 4 + 12x = 4(-5 + x) + -2 4 + 12x = (-5 * 4 + x * 4) + -2 4 + 12x = (-20 + 4x) + -2 Reorder the terms: 4 + 12x = -20 + -2 + 4x Combine like terms: -20 + -2 = -22 4 + 12x = -22 + 4x Solving 4 + 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. 4 + 12x + -4x = -22 + 4x + -4x Combine like terms: 12x + -4x = 8x 4 + 8x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 8x = -22 + 0 4 + 8x = -22 Add '-4' to each side of the equation. 4 + -4 + 8x = -22 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -22 + -4 8x = -22 + -4 Combine like terms: -22 + -4 = -26 8x = -26 Divide each side by '8'. x = -3.25 Simplifying x = -3.25
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