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Simplifying 4x + 2 + -1(2x + -4) = 14 Reorder the terms: 4x + 2 + -1(-4 + 2x) = 14 4x + 2 + (-4 * -1 + 2x * -1) = 14 4x + 2 + (4 + -2x) = 14 Reorder the terms: 2 + 4 + 4x + -2x = 14 Combine like terms: 2 + 4 = 6 6 + 4x + -2x = 14 Combine like terms: 4x + -2x = 2x 6 + 2x = 14 Solving 6 + 2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 14 + -6 2x = 14 + -6 Combine like terms: 14 + -6 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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