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Simplifying 2(4y + -3x) + -3(6y + -2y) + 5(12x) = 0 Reorder the terms: 2(-3x + 4y) + -3(6y + -2y) + 5(12x) = 0 (-3x * 2 + 4y * 2) + -3(6y + -2y) + 5(12x) = 0 (-6x + 8y) + -3(6y + -2y) + 5(12x) = 0 Combine like terms: 6y + -2y = 4y -6x + 8y + -3(4y) + 5(12x) = 0 Remove parenthesis around (4y) -6x + 8y + -3 * 4y + 5(12x) = 0 Multiply -3 * 4 -6x + 8y + -12y + 5(12x) = 0 Remove parenthesis around (12x) -6x + 8y + -12y + 5 * 12x = 0 Multiply 5 * 12 -6x + 8y + -12y + 60x = 0 Reorder the terms: -6x + 60x + 8y + -12y = 0 Combine like terms: -6x + 60x = 54x 54x + 8y + -12y = 0 Combine like terms: 8y + -12y = -4y 54x + -4y = 0 Solving 54x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 54x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 54x + 0 = 0 + 4y 54x = 0 + 4y Remove the zero: 54x = 4y Divide each side by '54'. x = 0.07407407407y Simplifying x = 0.07407407407y
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