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Simplifying 5(3x + -9y + 2) = 0 Reorder the terms: 5(2 + 3x + -9y) = 0 (2 * 5 + 3x * 5 + -9y * 5) = 0 (10 + 15x + -45y) = 0 Solving 10 + 15x + -45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 15x + -10 + -45y = 0 + -10 Reorder the terms: 10 + -10 + 15x + -45y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 15x + -45y = 0 + -10 15x + -45y = 0 + -10 Combine like terms: 0 + -10 = -10 15x + -45y = -10 Add '45y' to each side of the equation. 15x + -45y + 45y = -10 + 45y Combine like terms: -45y + 45y = 0 15x + 0 = -10 + 45y 15x = -10 + 45y Divide each side by '15'. x = -0.6666666667 + 3y Simplifying x = -0.6666666667 + 3y
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