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Simplifying (x + -4) * 16 = (x + 8) * 4 Reorder the terms: (-4 + x) * 16 = (x + 8) * 4 Reorder the terms for easier multiplication: 16(-4 + x) = (x + 8) * 4 (-4 * 16 + x * 16) = (x + 8) * 4 (-64 + 16x) = (x + 8) * 4 Reorder the terms: -64 + 16x = (8 + x) * 4 Reorder the terms for easier multiplication: -64 + 16x = 4(8 + x) -64 + 16x = (8 * 4 + x * 4) -64 + 16x = (32 + 4x) Solving -64 + 16x = 32 + 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. -64 + 16x + -4x = 32 + 4x + -4x Combine like terms: 16x + -4x = 12x -64 + 12x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + 12x = 32 + 0 -64 + 12x = 32 Add '64' to each side of the equation. -64 + 64 + 12x = 32 + 64 Combine like terms: -64 + 64 = 0 0 + 12x = 32 + 64 12x = 32 + 64 Combine like terms: 32 + 64 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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