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Simplifying 3(4x + -3y) + -1(9x + 2y + -5) = 0 (4x * 3 + -3y * 3) + -1(9x + 2y + -5) = 0 (12x + -9y) + -1(9x + 2y + -5) = 0 Reorder the terms: 12x + -9y + -1(-5 + 9x + 2y) = 0 12x + -9y + (-5 * -1 + 9x * -1 + 2y * -1) = 0 12x + -9y + (5 + -9x + -2y) = 0 Reorder the terms: 5 + 12x + -9x + -9y + -2y = 0 Combine like terms: 12x + -9x = 3x 5 + 3x + -9y + -2y = 0 Combine like terms: -9y + -2y = -11y 5 + 3x + -11y = 0 Solving 5 + 3x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3x + -5 + -11y = 0 + -5 Reorder the terms: 5 + -5 + 3x + -11y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x + -11y = 0 + -5 3x + -11y = 0 + -5 Combine like terms: 0 + -5 = -5 3x + -11y = -5 Add '11y' to each side of the equation. 3x + -11y + 11y = -5 + 11y Combine like terms: -11y + 11y = 0 3x + 0 = -5 + 11y 3x = -5 + 11y Divide each side by '3'. x = -1.666666667 + 3.666666667y Simplifying x = -1.666666667 + 3.666666667y
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