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Simplifying 2(4x + -4) = 4(x + 16) Reorder the terms: 2(-4 + 4x) = 4(x + 16) (-4 * 2 + 4x * 2) = 4(x + 16) (-8 + 8x) = 4(x + 16) Reorder the terms: -8 + 8x = 4(16 + x) -8 + 8x = (16 * 4 + x * 4) -8 + 8x = (64 + 4x) Solving -8 + 8x = 64 + 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. -8 + 8x + -4x = 64 + 4x + -4x Combine like terms: 8x + -4x = 4x -8 + 4x = 64 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 4x = 64 + 0 -8 + 4x = 64 Add '8' to each side of the equation. -8 + 8 + 4x = 64 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 64 + 8 4x = 64 + 8 Combine like terms: 64 + 8 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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