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Simplifying -3(x + 2) = 6 + 2x + 8 Reorder the terms: -3(2 + x) = 6 + 2x + 8 (2 * -3 + x * -3) = 6 + 2x + 8 (-6 + -3x) = 6 + 2x + 8 Reorder the terms: -6 + -3x = 6 + 8 + 2x Combine like terms: 6 + 8 = 14 -6 + -3x = 14 + 2x Solving -6 + -3x = 14 + 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. -6 + -3x + -2x = 14 + 2x + -2x Combine like terms: -3x + -2x = -5x -6 + -5x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -5x = 14 + 0 -6 + -5x = 14 Add '6' to each side of the equation. -6 + 6 + -5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 14 + 6 -5x = 14 + 6 Combine like terms: 14 + 6 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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