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Simplifying -2x + -4x = -3(-4x + -6) + 6(7 + -8x) Combine like terms: -2x + -4x = -6x -6x = -3(-4x + -6) + 6(7 + -8x) Reorder the terms: -6x = -3(-6 + -4x) + 6(7 + -8x) -6x = (-6 * -3 + -4x * -3) + 6(7 + -8x) -6x = (18 + 12x) + 6(7 + -8x) -6x = 18 + 12x + (7 * 6 + -8x * 6) -6x = 18 + 12x + (42 + -48x) Reorder the terms: -6x = 18 + 42 + 12x + -48x Combine like terms: 18 + 42 = 60 -6x = 60 + 12x + -48x Combine like terms: 12x + -48x = -36x -6x = 60 + -36x Solving -6x = 60 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -6x + 36x = 60 + -36x + 36x Combine like terms: -6x + 36x = 30x 30x = 60 + -36x + 36x Combine like terms: -36x + 36x = 0 30x = 60 + 0 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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