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Simplifying 2(4x + 16) = 5x + 2 Reorder the terms: 2(16 + 4x) = 5x + 2 (16 * 2 + 4x * 2) = 5x + 2 (32 + 8x) = 5x + 2 Reorder the terms: 32 + 8x = 2 + 5x Solving 32 + 8x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 8x + -5x = 2 + 5x + -5x Combine like terms: 8x + -5x = 3x 32 + 3x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 3x = 2 + 0 32 + 3x = 2 Add '-32' to each side of the equation. 32 + -32 + 3x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 2 + -32 3x = 2 + -32 Combine like terms: 2 + -32 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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