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Simplifying 12x(-4y) + -4y = 15x(-4y) + 8y Remove parenthesis around (-4y) 12x * -4y + -4y = 15x(-4y) + 8y Reorder the terms for easier multiplication: 12 * -4x * y + -4y = 15x(-4y) + 8y Multiply 12 * -4 -48x * y + -4y = 15x(-4y) + 8y Multiply x * y -48xy + -4y = 15x(-4y) + 8y Remove parenthesis around (-4y) -48xy + -4y = 15x * -4y + 8y Reorder the terms for easier multiplication: -48xy + -4y = 15 * -4x * y + 8y Multiply 15 * -4 -48xy + -4y = -60x * y + 8y Multiply x * y -48xy + -4y = -60xy + 8y Solving -48xy + -4y = -60xy + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60xy' to each side of the equation. -48xy + 60xy + -4y = -60xy + 60xy + 8y Combine like terms: -48xy + 60xy = 12xy 12xy + -4y = -60xy + 60xy + 8y Combine like terms: -60xy + 60xy = 0 12xy + -4y = 0 + 8y 12xy + -4y = 8y Add '4y' to each side of the equation. 12xy + -4y + 4y = 8y + 4y Combine like terms: -4y + 4y = 0 12xy + 0 = 8y + 4y 12xy = 8y + 4y Combine like terms: 8y + 4y = 12y 12xy = 12y Divide each side by '12y'. x = 1 Simplifying x = 1
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