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Simplifying 2(6x + -3) = 8x + 2 Reorder the terms: 2(-3 + 6x) = 8x + 2 (-3 * 2 + 6x * 2) = 8x + 2 (-6 + 12x) = 8x + 2 Reorder the terms: -6 + 12x = 2 + 8x Solving -6 + 12x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 12x + -8x = 2 + 8x + -8x Combine like terms: 12x + -8x = 4x -6 + 4x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 4x = 2 + 0 -6 + 4x = 2 Add '6' to each side of the equation. -6 + 6 + 4x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 2 + 6 4x = 2 + 6 Combine like terms: 2 + 6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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