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Simplifying 4(x + 4) = 14 + 2x Reorder the terms: 4(4 + x) = 14 + 2x (4 * 4 + x * 4) = 14 + 2x (16 + 4x) = 14 + 2x Solving 16 + 4x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x 16 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 2x = 14 + 0 16 + 2x = 14 Add '-16' to each side of the equation. 16 + -16 + 2x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 14 + -16 2x = 14 + -16 Combine like terms: 14 + -16 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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