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Simplifying 5(x + -1) + 3(2 + -1x) = 2 Reorder the terms: 5(-1 + x) + 3(2 + -1x) = 2 (-1 * 5 + x * 5) + 3(2 + -1x) = 2 (-5 + 5x) + 3(2 + -1x) = 2 -5 + 5x + (2 * 3 + -1x * 3) = 2 -5 + 5x + (6 + -3x) = 2 Reorder the terms: -5 + 6 + 5x + -3x = 2 Combine like terms: -5 + 6 = 1 1 + 5x + -3x = 2 Combine like terms: 5x + -3x = 2x 1 + 2x = 2 Solving 1 + 2x = 2 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 = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 2 + -1 2x = 2 + -1 Combine like terms: 2 + -1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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