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Simplifying -5(6 + -4x) = 4 + -1(6x + -1(5x + -1(4x + -1(5x + 6)))) (6 * -5 + -4x * -5) = 4 + -1(6x + -1(5x + -1(4x + -1(5x + 6)))) (-30 + 20x) = 4 + -1(6x + -1(5x + -1(4x + -1(5x + 6)))) Reorder the terms: -30 + 20x = 4 + -1(6x + -1(5x + -1(4x + -1(6 + 5x)))) -30 + 20x = 4 + -1(6x + -1(5x + -1(4x + (6 * -1 + 5x * -1)))) -30 + 20x = 4 + -1(6x + -1(5x + -1(4x + (-6 + -5x)))) Reorder the terms: -30 + 20x = 4 + -1(6x + -1(5x + -1(-6 + 4x + -5x))) Combine like terms: 4x + -5x = -1x -30 + 20x = 4 + -1(6x + -1(5x + -1(-6 + -1x))) -30 + 20x = 4 + -1(6x + -1(5x + (-6 * -1 + -1x * -1))) -30 + 20x = 4 + -1(6x + -1(5x + (6 + 1x))) Reorder the terms: -30 + 20x = 4 + -1(6x + -1(6 + 5x + 1x)) Combine like terms: 5x + 1x = 6x -30 + 20x = 4 + -1(6x + -1(6 + 6x)) -30 + 20x = 4 + -1(6x + (6 * -1 + 6x * -1)) -30 + 20x = 4 + -1(6x + (-6 + -6x)) Reorder the terms: -30 + 20x = 4 + -1(-6 + 6x + -6x) Combine like terms: 6x + -6x = 0 -30 + 20x = 4 + -1(-6 + 0) -30 + 20x = 4 + -1(-6) Multiply -1 * -6 -30 + 20x = 4 + 6 Combine like terms: 4 + 6 = 10 -30 + 20x = 10 Solving -30 + 20x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 20x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 20x = 10 + 30 20x = 10 + 30 Combine like terms: 10 + 30 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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