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Simplifying 5x + -4(x + -3(x + -2)) = 2 Reorder the terms: 5x + -4(x + -3(-2 + x)) = 2 5x + -4(x + (-2 * -3 + x * -3)) = 2 5x + -4(x + (6 + -3x)) = 2 Reorder the terms: 5x + -4(6 + x + -3x) = 2 Combine like terms: x + -3x = -2x 5x + -4(6 + -2x) = 2 5x + (6 * -4 + -2x * -4) = 2 5x + (-24 + 8x) = 2 Reorder the terms: -24 + 5x + 8x = 2 Combine like terms: 5x + 8x = 13x -24 + 13x = 2 Solving -24 + 13x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 13x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 2 + 24 13x = 2 + 24 Combine like terms: 2 + 24 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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