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Simplifying -3(x + 2) + 8 = 2(1 + -2x) Reorder the terms: -3(2 + x) + 8 = 2(1 + -2x) (2 * -3 + x * -3) + 8 = 2(1 + -2x) (-6 + -3x) + 8 = 2(1 + -2x) Reorder the terms: -6 + 8 + -3x = 2(1 + -2x) Combine like terms: -6 + 8 = 2 2 + -3x = 2(1 + -2x) 2 + -3x = (1 * 2 + -2x * 2) 2 + -3x = (2 + -4x) Add '-2' to each side of the equation. 2 + -2 + -3x = 2 + -2 + -4x Combine like terms: 2 + -2 = 0 0 + -3x = 2 + -2 + -4x -3x = 2 + -2 + -4x Combine like terms: 2 + -2 = 0 -3x = 0 + -4x -3x = -4x Solving -3x = -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 = -4x + 4x Combine like terms: -3x + 4x = 1x 1x = -4x + 4x Combine like terms: -4x + 4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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