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Simplifying -6 + -1(6 + -12x) = 4x + -2(x + 11) -6 + (6 * -1 + -12x * -1) = 4x + -2(x + 11) -6 + (-6 + 12x) = 4x + -2(x + 11) Combine like terms: -6 + -6 = -12 -12 + 12x = 4x + -2(x + 11) Reorder the terms: -12 + 12x = 4x + -2(11 + x) -12 + 12x = 4x + (11 * -2 + x * -2) -12 + 12x = 4x + (-22 + -2x) Reorder the terms: -12 + 12x = -22 + 4x + -2x Combine like terms: 4x + -2x = 2x -12 + 12x = -22 + 2x Solving -12 + 12x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 12x + -2x = -22 + 2x + -2x Combine like terms: 12x + -2x = 10x -12 + 10x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 10x = -22 + 0 -12 + 10x = -22 Add '12' to each side of the equation. -12 + 12 + 10x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = -22 + 12 10x = -22 + 12 Combine like terms: -22 + 12 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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