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Simplifying 16(x + 2) = 4(14 + x) Reorder the terms: 16(2 + x) = 4(14 + x) (2 * 16 + x * 16) = 4(14 + x) (32 + 16x) = 4(14 + x) 32 + 16x = (14 * 4 + x * 4) 32 + 16x = (56 + 4x) Solving 32 + 16x = 56 + 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 + 16x + -4x = 56 + 4x + -4x Combine like terms: 16x + -4x = 12x 32 + 12x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 12x = 56 + 0 32 + 12x = 56 Add '-32' to each side of the equation. 32 + -32 + 12x = 56 + -32 Combine like terms: 32 + -32 = 0 0 + 12x = 56 + -32 12x = 56 + -32 Combine like terms: 56 + -32 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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