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Simplifying -4(2x + 8) = 16 + -6x Reorder the terms: -4(8 + 2x) = 16 + -6x (8 * -4 + 2x * -4) = 16 + -6x (-32 + -8x) = 16 + -6x Solving -32 + -8x = 16 + -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 = 16 + -6x + 6x Combine like terms: -8x + 6x = -2x -32 + -2x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + -2x = 16 + 0 -32 + -2x = 16 Add '32' to each side of the equation. -32 + 32 + -2x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 16 + 32 -2x = 16 + 32 Combine like terms: 16 + 32 = 48 -2x = 48 Divide each side by '-2'. x = -24 Simplifying x = -24
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