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Simplifying 2(4x + 2) + 2(4x) = 100 Reorder the terms: 2(2 + 4x) + 2(4x) = 100 (2 * 2 + 4x * 2) + 2(4x) = 100 (4 + 8x) + 2(4x) = 100 Remove parenthesis around (4x) 4 + 8x + 2 * 4x = 100 Multiply 2 * 4 4 + 8x + 8x = 100 Combine like terms: 8x + 8x = 16x 4 + 16x = 100 Solving 4 + 16x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 16x = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = 100 + -4 16x = 100 + -4 Combine like terms: 100 + -4 = 96 16x = 96 Divide each side by '16'. x = 6 Simplifying x = 6
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