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