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Simplifying 2(4x + -16) = 2(2x + 6) Reorder the terms: 2(-16 + 4x) = 2(2x + 6) (-16 * 2 + 4x * 2) = 2(2x + 6) (-32 + 8x) = 2(2x + 6) Reorder the terms: -32 + 8x = 2(6 + 2x) -32 + 8x = (6 * 2 + 2x * 2) -32 + 8x = (12 + 4x) Solving -32 + 8x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -32 + 8x + -4x = 12 + 4x + -4x Combine like terms: 8x + -4x = 4x -32 + 4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 4x = 12 + 0 -32 + 4x = 12 Add '32' to each side of the equation. -32 + 32 + 4x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 12 + 32 4x = 12 + 32 Combine like terms: 12 + 32 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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