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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 = 2x -12 + 2x = -20 + -6x Solving -12 + 2x = -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 + 2x + 6x = -20 + -6x + 6x Combine like terms: 2x + 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 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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