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Simplifying 2 + 4x + -1(1 + 2x) = 7 2 + 4x + (1 * -1 + 2x * -1) = 7 2 + 4x + (-1 + -2x) = 7 Reorder the terms: 2 + -1 + 4x + -2x = 7 Combine like terms: 2 + -1 = 1 1 + 4x + -2x = 7 Combine like terms: 4x + -2x = 2x 1 + 2x = 7 Solving 1 + 2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 7 + -1 2x = 7 + -1 Combine like terms: 7 + -1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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