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Simplifying -8x + 2(-3x + -6) = 20 + -6x Reorder the terms: -8x + 2(-6 + -3x) = 20 + -6x -8x + (-6 * 2 + -3x * 2) = 20 + -6x -8x + (-12 + -6x) = 20 + -6x Reorder the terms: -12 + -8x + -6x = 20 + -6x Combine like terms: -8x + -6x = -14x -12 + -14x = 20 + -6x Solving -12 + -14x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + -14x + 6x = 20 + -6x + 6x Combine like terms: -14x + 6x = -8x -12 + -8x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + -8x = 20 + 0 -12 + -8x = 20 Add '12' to each side of the equation. -12 + 12 + -8x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 20 + 12 -8x = 20 + 12 Combine like terms: 20 + 12 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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