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Simplifying 2(3x + -2) = 2x + 8 Reorder the terms: 2(-2 + 3x) = 2x + 8 (-2 * 2 + 3x * 2) = 2x + 8 (-4 + 6x) = 2x + 8 Reorder the terms: -4 + 6x = 8 + 2x Solving -4 + 6x = 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. -4 + 6x + -2x = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = 8 + 0 -4 + 4x = 8 Add '4' to each side of the equation. -4 + 4 + 4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 8 + 4 4x = 8 + 4 Combine like terms: 8 + 4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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