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Simplifying 2x + -1(2 + -2x) + -1 = 3x + 8 2x + (2 * -1 + -2x * -1) + -1 = 3x + 8 2x + (-2 + 2x) + -1 = 3x + 8 Reorder the terms: -2 + -1 + 2x + 2x = 3x + 8 Combine like terms: -2 + -1 = -3 -3 + 2x + 2x = 3x + 8 Combine like terms: 2x + 2x = 4x -3 + 4x = 3x + 8 Reorder the terms: -3 + 4x = 8 + 3x Solving -3 + 4x = 8 + 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. -3 + 4x + -3x = 8 + 3x + -3x Combine like terms: 4x + -3x = 1x -3 + 1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 1x = 8 + 0 -3 + 1x = 8 Add '3' to each side of the equation. -3 + 3 + 1x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 8 + 3 1x = 8 + 3 Combine like terms: 8 + 3 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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