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Simplifying 2x + -1(5 + -3x) = 4x + 2 2x + (5 * -1 + -3x * -1) = 4x + 2 2x + (-5 + 3x) = 4x + 2 Reorder the terms: -5 + 2x + 3x = 4x + 2 Combine like terms: 2x + 3x = 5x -5 + 5x = 4x + 2 Reorder the terms: -5 + 5x = 2 + 4x Solving -5 + 5x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = 2 + 0 -5 + 1x = 2 Add '5' to each side of the equation. -5 + 5 + 1x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 2 + 5 1x = 2 + 5 Combine like terms: 2 + 5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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