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Simplifying 3(4X + -4) + -4(7X + -2) = 0 Reorder the terms: 3(-4 + 4X) + -4(7X + -2) = 0 (-4 * 3 + 4X * 3) + -4(7X + -2) = 0 (-12 + 12X) + -4(7X + -2) = 0 Reorder the terms: -12 + 12X + -4(-2 + 7X) = 0 -12 + 12X + (-2 * -4 + 7X * -4) = 0 -12 + 12X + (8 + -28X) = 0 Reorder the terms: -12 + 8 + 12X + -28X = 0 Combine like terms: -12 + 8 = -4 -4 + 12X + -28X = 0 Combine like terms: 12X + -28X = -16X -4 + -16X = 0 Solving -4 + -16X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -16X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -16X = 0 + 4 -16X = 0 + 4 Combine like terms: 0 + 4 = 4 -16X = 4 Divide each side by '-16'. X = -0.25 Simplifying X = -0.25
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