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Simplifying -6x + -32 = 2(x + 8) Reorder the terms: -32 + -6x = 2(x + 8) Reorder the terms: -32 + -6x = 2(8 + x) -32 + -6x = (8 * 2 + x * 2) -32 + -6x = (16 + 2x) Solving -32 + -6x = 16 + 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 + -6x + -2x = 16 + 2x + -2x Combine like terms: -6x + -2x = -8x -32 + -8x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + -8x = 16 + 0 -32 + -8x = 16 Add '32' to each side of the equation. -32 + 32 + -8x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 16 + 32 -8x = 16 + 32 Combine like terms: 16 + 32 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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