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Simplifying -162 = -6x + -6(-6x + 2) Reorder the terms: -162 = -6x + -6(2 + -6x) -162 = -6x + (2 * -6 + -6x * -6) -162 = -6x + (-12 + 36x) Reorder the terms: -162 = -12 + -6x + 36x Combine like terms: -6x + 36x = 30x -162 = -12 + 30x Solving -162 = -12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -162 + -30x = -12 + 30x + -30x Combine like terms: 30x + -30x = 0 -162 + -30x = -12 + 0 -162 + -30x = -12 Add '162' to each side of the equation. -162 + 162 + -30x = -12 + 162 Combine like terms: -162 + 162 = 0 0 + -30x = -12 + 162 -30x = -12 + 162 Combine like terms: -12 + 162 = 150 -30x = 150 Divide each side by '-30'. x = -5 Simplifying x = -5
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