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Simplifying (2X + -6) * 4 = (3X + -5) * 4 Reorder the terms: (-6 + 2X) * 4 = (3X + -5) * 4 Reorder the terms for easier multiplication: 4(-6 + 2X) = (3X + -5) * 4 (-6 * 4 + 2X * 4) = (3X + -5) * 4 (-24 + 8X) = (3X + -5) * 4 Reorder the terms: -24 + 8X = (-5 + 3X) * 4 Reorder the terms for easier multiplication: -24 + 8X = 4(-5 + 3X) -24 + 8X = (-5 * 4 + 3X * 4) -24 + 8X = (-20 + 12X) Solving -24 + 8X = -20 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. -24 + 8X + -12X = -20 + 12X + -12X Combine like terms: 8X + -12X = -4X -24 + -4X = -20 + 12X + -12X Combine like terms: 12X + -12X = 0 -24 + -4X = -20 + 0 -24 + -4X = -20 Add '24' to each side of the equation. -24 + 24 + -4X = -20 + 24 Combine like terms: -24 + 24 = 0 0 + -4X = -20 + 24 -4X = -20 + 24 Combine like terms: -20 + 24 = 4 -4X = 4 Divide each side by '-4'. X = -1 Simplifying X = -1
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