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Simplifying 3x + -2 + -1(2x + -4 + -1(3x + -2)) = 2x + 8 Reorder the terms: 3x + -2 + -1(2x + -4 + -1(-2 + 3x)) = 2x + 8 3x + -2 + -1(2x + -4 + (-2 * -1 + 3x * -1)) = 2x + 8 3x + -2 + -1(2x + -4 + (2 + -3x)) = 2x + 8 Reorder the terms: 3x + -2 + -1(-4 + 2 + 2x + -3x) = 2x + 8 Combine like terms: -4 + 2 = -2 3x + -2 + -1(-2 + 2x + -3x) = 2x + 8 Combine like terms: 2x + -3x = -1x 3x + -2 + -1(-2 + -1x) = 2x + 8 3x + -2 + (-2 * -1 + -1x * -1) = 2x + 8 3x + -2 + (2 + 1x) = 2x + 8 Reorder the terms: -2 + 2 + 3x + 1x = 2x + 8 Combine like terms: -2 + 2 = 0 0 + 3x + 1x = 2x + 8 3x + 1x = 2x + 8 Combine like terms: 3x + 1x = 4x 4x = 2x + 8 Reorder the terms: 4x = 8 + 2x Solving 4x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 8 + 0 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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