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Simplifying 4(x + 4) = 2(x + 5) + 6 Reorder the terms: 4(4 + x) = 2(x + 5) + 6 (4 * 4 + x * 4) = 2(x + 5) + 6 (16 + 4x) = 2(x + 5) + 6 Reorder the terms: 16 + 4x = 2(5 + x) + 6 16 + 4x = (5 * 2 + x * 2) + 6 16 + 4x = (10 + 2x) + 6 Reorder the terms: 16 + 4x = 10 + 6 + 2x Combine like terms: 10 + 6 = 16 16 + 4x = 16 + 2x Add '-16' to each side of the equation. 16 + -16 + 4x = 16 + -16 + 2x Combine like terms: 16 + -16 = 0 0 + 4x = 16 + -16 + 2x 4x = 16 + -16 + 2x Combine like terms: 16 + -16 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 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. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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