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Simplifying x(3 + -1) + -1(3 + -1x) = 9x + -5x + 2 Combine like terms: 3 + -1 = 2 x(2) + -1(3 + -1x) = 9x + -5x + 2 Reorder the terms for easier multiplication: 2x + -1(3 + -1x) = 9x + -5x + 2 2x + (3 * -1 + -1x * -1) = 9x + -5x + 2 2x + (-3 + 1x) = 9x + -5x + 2 Reorder the terms: -3 + 2x + 1x = 9x + -5x + 2 Combine like terms: 2x + 1x = 3x -3 + 3x = 9x + -5x + 2 Reorder the terms: -3 + 3x = 2 + 9x + -5x Combine like terms: 9x + -5x = 4x -3 + 3x = 2 + 4x Solving -3 + 3x = 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. -3 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = 2 + 0 -3 + -1x = 2 Add '3' to each side of the equation. -3 + 3 + -1x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 2 + 3 -1x = 2 + 3 Combine like terms: 2 + 3 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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