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Simplifying -3(6 + -4x) = 4 + -1(5x + -1(6x + -1(4x + -1(3x + 2)))) (6 * -3 + -4x * -3) = 4 + -1(5x + -1(6x + -1(4x + -1(3x + 2)))) (-18 + 12x) = 4 + -1(5x + -1(6x + -1(4x + -1(3x + 2)))) Reorder the terms: -18 + 12x = 4 + -1(5x + -1(6x + -1(4x + -1(2 + 3x)))) -18 + 12x = 4 + -1(5x + -1(6x + -1(4x + (2 * -1 + 3x * -1)))) -18 + 12x = 4 + -1(5x + -1(6x + -1(4x + (-2 + -3x)))) Reorder the terms: -18 + 12x = 4 + -1(5x + -1(6x + -1(-2 + 4x + -3x))) Combine like terms: 4x + -3x = 1x -18 + 12x = 4 + -1(5x + -1(6x + -1(-2 + 1x))) -18 + 12x = 4 + -1(5x + -1(6x + (-2 * -1 + 1x * -1))) -18 + 12x = 4 + -1(5x + -1(6x + (2 + -1x))) Reorder the terms: -18 + 12x = 4 + -1(5x + -1(2 + 6x + -1x)) Combine like terms: 6x + -1x = 5x -18 + 12x = 4 + -1(5x + -1(2 + 5x)) -18 + 12x = 4 + -1(5x + (2 * -1 + 5x * -1)) -18 + 12x = 4 + -1(5x + (-2 + -5x)) Reorder the terms: -18 + 12x = 4 + -1(-2 + 5x + -5x) Combine like terms: 5x + -5x = 0 -18 + 12x = 4 + -1(-2 + 0) -18 + 12x = 4 + -1(-2) Multiply -1 * -2 -18 + 12x = 4 + 2 Combine like terms: 4 + 2 = 6 -18 + 12x = 6 Solving -18 + 12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 6 + 18 12x = 6 + 18 Combine like terms: 6 + 18 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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