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Simplifying 2(-3 + -1x) = 3(x + 8) (-3 * 2 + -1x * 2) = 3(x + 8) (-6 + -2x) = 3(x + 8) Reorder the terms: -6 + -2x = 3(8 + x) -6 + -2x = (8 * 3 + x * 3) -6 + -2x = (24 + 3x) Solving -6 + -2x = 24 + 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. -6 + -2x + -3x = 24 + 3x + -3x Combine like terms: -2x + -3x = -5x -6 + -5x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -5x = 24 + 0 -6 + -5x = 24 Add '6' to each side of the equation. -6 + 6 + -5x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 24 + 6 -5x = 24 + 6 Combine like terms: 24 + 6 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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