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Simplifying 2x + -4(1 + -1x) = 5x + 14 2x + (1 * -4 + -1x * -4) = 5x + 14 2x + (-4 + 4x) = 5x + 14 Reorder the terms: -4 + 2x + 4x = 5x + 14 Combine like terms: 2x + 4x = 6x -4 + 6x = 5x + 14 Reorder the terms: -4 + 6x = 14 + 5x Solving -4 + 6x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 6x + -5x = 14 + 5x + -5x Combine like terms: 6x + -5x = 1x -4 + 1x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 1x = 14 + 0 -4 + 1x = 14 Add '4' to each side of the equation. -4 + 4 + 1x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 14 + 4 1x = 14 + 4 Combine like terms: 14 + 4 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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