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Simplifying -3(2x + 5y + -6) + -1(5y + -2) = 0 Reorder the terms: -3(-6 + 2x + 5y) + -1(5y + -2) = 0 (-6 * -3 + 2x * -3 + 5y * -3) + -1(5y + -2) = 0 (18 + -6x + -15y) + -1(5y + -2) = 0 Reorder the terms: 18 + -6x + -15y + -1(-2 + 5y) = 0 18 + -6x + -15y + (-2 * -1 + 5y * -1) = 0 18 + -6x + -15y + (2 + -5y) = 0 Reorder the terms: 18 + 2 + -6x + -15y + -5y = 0 Combine like terms: 18 + 2 = 20 20 + -6x + -15y + -5y = 0 Combine like terms: -15y + -5y = -20y 20 + -6x + -20y = 0 Solving 20 + -6x + -20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -6x + -20 + -20y = 0 + -20 Reorder the terms: 20 + -20 + -6x + -20y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -6x + -20y = 0 + -20 -6x + -20y = 0 + -20 Combine like terms: 0 + -20 = -20 -6x + -20y = -20 Add '20y' to each side of the equation. -6x + -20y + 20y = -20 + 20y Combine like terms: -20y + 20y = 0 -6x + 0 = -20 + 20y -6x = -20 + 20y Divide each side by '-6'. x = 3.333333333 + -3.333333333y Simplifying x = 3.333333333 + -3.333333333y
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