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Simplifying 2(2x + 1) + 2(2x) = 50 Reorder the terms: 2(1 + 2x) + 2(2x) = 50 (1 * 2 + 2x * 2) + 2(2x) = 50 (2 + 4x) + 2(2x) = 50 Remove parenthesis around (2x) 2 + 4x + 2 * 2x = 50 Multiply 2 * 2 2 + 4x + 4x = 50 Combine like terms: 4x + 4x = 8x 2 + 8x = 50 Solving 2 + 8x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 50 + -2 8x = 50 + -2 Combine like terms: 50 + -2 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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