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Simplifying 3(4x + -3y) + -5(22 + 3y) = 0 (4x * 3 + -3y * 3) + -5(22 + 3y) = 0 (12x + -9y) + -5(22 + 3y) = 0 12x + -9y + (22 * -5 + 3y * -5) = 0 12x + -9y + (-110 + -15y) = 0 Reorder the terms: -110 + 12x + -9y + -15y = 0 Combine like terms: -9y + -15y = -24y -110 + 12x + -24y = 0 Solving -110 + 12x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 12x + 110 + -24y = 0 + 110 Reorder the terms: -110 + 110 + 12x + -24y = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 12x + -24y = 0 + 110 12x + -24y = 0 + 110 Combine like terms: 0 + 110 = 110 12x + -24y = 110 Add '24y' to each side of the equation. 12x + -24y + 24y = 110 + 24y Combine like terms: -24y + 24y = 0 12x + 0 = 110 + 24y 12x = 110 + 24y Divide each side by '12'. x = 9.166666667 + 2y Simplifying x = 9.166666667 + 2y
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