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