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Simplifying 2(x + 4) = 4(x + 4) + -8 Reorder the terms: 2(4 + x) = 4(x + 4) + -8 (4 * 2 + x * 2) = 4(x + 4) + -8 (8 + 2x) = 4(x + 4) + -8 Reorder the terms: 8 + 2x = 4(4 + x) + -8 8 + 2x = (4 * 4 + x * 4) + -8 8 + 2x = (16 + 4x) + -8 Reorder the terms: 8 + 2x = 16 + -8 + 4x Combine like terms: 16 + -8 = 8 8 + 2x = 8 + 4x Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -8 + 4x 2x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 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. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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