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Simplifying 4(5x + -1y + 12) + 9(3y + -8) = 0 Reorder the terms: 4(12 + 5x + -1y) + 9(3y + -8) = 0 (12 * 4 + 5x * 4 + -1y * 4) + 9(3y + -8) = 0 (48 + 20x + -4y) + 9(3y + -8) = 0 Reorder the terms: 48 + 20x + -4y + 9(-8 + 3y) = 0 48 + 20x + -4y + (-8 * 9 + 3y * 9) = 0 48 + 20x + -4y + (-72 + 27y) = 0 Reorder the terms: 48 + -72 + 20x + -4y + 27y = 0 Combine like terms: 48 + -72 = -24 -24 + 20x + -4y + 27y = 0 Combine like terms: -4y + 27y = 23y -24 + 20x + 23y = 0 Solving -24 + 20x + 23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 20x + 24 + 23y = 0 + 24 Reorder the terms: -24 + 24 + 20x + 23y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 20x + 23y = 0 + 24 20x + 23y = 0 + 24 Combine like terms: 0 + 24 = 24 20x + 23y = 24 Add '-23y' to each side of the equation. 20x + 23y + -23y = 24 + -23y Combine like terms: 23y + -23y = 0 20x + 0 = 24 + -23y 20x = 24 + -23y Divide each side by '20'. x = 1.2 + -1.15y Simplifying x = 1.2 + -1.15y
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