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Simplifying -2(x + 8) = 12 + -6x Reorder the terms: -2(8 + x) = 12 + -6x (8 * -2 + x * -2) = 12 + -6x (-16 + -2x) = 12 + -6x Solving -16 + -2x = 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. -16 + -2x + 6x = 12 + -6x + 6x Combine like terms: -2x + 6x = 4x -16 + 4x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 4x = 12 + 0 -16 + 4x = 12 Add '16' to each side of the equation. -16 + 16 + 4x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 12 + 16 4x = 12 + 16 Combine like terms: 12 + 16 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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