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Simplifying -5(1 + -1x) = 3x + 2 (1 * -5 + -1x * -5) = 3x + 2 (-5 + 5x) = 3x + 2 Reorder the terms: -5 + 5x = 2 + 3x Solving -5 + 5x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5x + -3x = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 2 + 0 -5 + 2x = 2 Add '5' to each side of the equation. -5 + 5 + 2x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 2 + 5 2x = 2 + 5 Combine like terms: 2 + 5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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