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Simplifying 16(x + 2) = 4(x + 5) + 12 Reorder the terms: 16(2 + x) = 4(x + 5) + 12 (2 * 16 + x * 16) = 4(x + 5) + 12 (32 + 16x) = 4(x + 5) + 12 Reorder the terms: 32 + 16x = 4(5 + x) + 12 32 + 16x = (5 * 4 + x * 4) + 12 32 + 16x = (20 + 4x) + 12 Reorder the terms: 32 + 16x = 20 + 12 + 4x Combine like terms: 20 + 12 = 32 32 + 16x = 32 + 4x Add '-32' to each side of the equation. 32 + -32 + 16x = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 0 + 16x = 32 + -32 + 4x 16x = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 16x = 0 + 4x 16x = 4x Solving 16x = 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. 16x + -4x = 4x + -4x Combine like terms: 16x + -4x = 12x 12x = 4x + -4x Combine like terms: 4x + -4x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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