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Simplifying 2(1 + -3(x + 2)) = -1x Reorder the terms: 2(1 + -3(2 + x)) = -1x 2(1 + (2 * -3 + x * -3)) = -1x 2(1 + (-6 + -3x)) = -1x Combine like terms: 1 + -6 = -5 2(-5 + -3x) = -1x (-5 * 2 + -3x * 2) = -1x (-10 + -6x) = -1x Solving -10 + -6x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + -6x + x = -1x + x Combine like terms: -6x + x = -5x -10 + -5x = -1x + x Combine like terms: -1x + x = 0 -10 + -5x = 0 Add '10' to each side of the equation. -10 + 10 + -5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 0 + 10 -5x = 0 + 10 Combine like terms: 0 + 10 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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