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Simplifying -8x + -32 = -6(x + 2) Reorder the terms: -32 + -8x = -6(x + 2) Reorder the terms: -32 + -8x = -6(2 + x) -32 + -8x = (2 * -6 + x * -6) -32 + -8x = (-12 + -6x) Solving -32 + -8x = -12 + -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. -32 + -8x + 6x = -12 + -6x + 6x Combine like terms: -8x + 6x = -2x -32 + -2x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + -2x = -12 + 0 -32 + -2x = -12 Add '32' to each side of the equation. -32 + 32 + -2x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -12 + 32 -2x = -12 + 32 Combine like terms: -12 + 32 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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