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Simplifying 2(3x + -4) + -4(2x + -5) = 6(2 + -1x) Reorder the terms: 2(-4 + 3x) + -4(2x + -5) = 6(2 + -1x) (-4 * 2 + 3x * 2) + -4(2x + -5) = 6(2 + -1x) (-8 + 6x) + -4(2x + -5) = 6(2 + -1x) Reorder the terms: -8 + 6x + -4(-5 + 2x) = 6(2 + -1x) -8 + 6x + (-5 * -4 + 2x * -4) = 6(2 + -1x) -8 + 6x + (20 + -8x) = 6(2 + -1x) Reorder the terms: -8 + 20 + 6x + -8x = 6(2 + -1x) Combine like terms: -8 + 20 = 12 12 + 6x + -8x = 6(2 + -1x) Combine like terms: 6x + -8x = -2x 12 + -2x = 6(2 + -1x) 12 + -2x = (2 * 6 + -1x * 6) 12 + -2x = (12 + -6x) Add '-12' to each side of the equation. 12 + -12 + -2x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 0 + -2x = 12 + -12 + -6x -2x = 12 + -12 + -6x Combine like terms: 12 + -12 = 0 -2x = 0 + -6x -2x = -6x Solving -2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2x + 6x = -6x + 6x Combine like terms: -2x + 6x = 4x 4x = -6x + 6x Combine like terms: -6x + 6x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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