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Simplifying 4(4X + -6) = 2(12X + -8) Reorder the terms: 4(-6 + 4X) = 2(12X + -8) (-6 * 4 + 4X * 4) = 2(12X + -8) (-24 + 16X) = 2(12X + -8) Reorder the terms: -24 + 16X = 2(-8 + 12X) -24 + 16X = (-8 * 2 + 12X * 2) -24 + 16X = (-16 + 24X) Solving -24 + 16X = -16 + 24X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24X' to each side of the equation. -24 + 16X + -24X = -16 + 24X + -24X Combine like terms: 16X + -24X = -8X -24 + -8X = -16 + 24X + -24X Combine like terms: 24X + -24X = 0 -24 + -8X = -16 + 0 -24 + -8X = -16 Add '24' to each side of the equation. -24 + 24 + -8X = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -8X = -16 + 24 -8X = -16 + 24 Combine like terms: -16 + 24 = 8 -8X = 8 Divide each side by '-8'. X = -1 Simplifying X = -1
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