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Simplifying x + 3 + -1(3 + -2x) = 8 + 5x + -1(x + 3) x + 3 + (3 * -1 + -2x * -1) = 8 + 5x + -1(x + 3) x + 3 + (-3 + 2x) = 8 + 5x + -1(x + 3) Reorder the terms: 3 + -3 + x + 2x = 8 + 5x + -1(x + 3) Combine like terms: 3 + -3 = 0 0 + x + 2x = 8 + 5x + -1(x + 3) x + 2x = 8 + 5x + -1(x + 3) Combine like terms: x + 2x = 3x 3x = 8 + 5x + -1(x + 3) Reorder the terms: 3x = 8 + 5x + -1(3 + x) 3x = 8 + 5x + (3 * -1 + x * -1) 3x = 8 + 5x + (-3 + -1x) Reorder the terms: 3x = 8 + -3 + 5x + -1x Combine like terms: 8 + -3 = 5 3x = 5 + 5x + -1x Combine like terms: 5x + -1x = 4x 3x = 5 + 4x Solving 3x = 5 + 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. 3x + -4x = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 5 + 0 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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