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Simplifying 3(2x + 5) + 2(y + 3) + 5 = 0 Reorder the terms: 3(5 + 2x) + 2(y + 3) + 5 = 0 (5 * 3 + 2x * 3) + 2(y + 3) + 5 = 0 (15 + 6x) + 2(y + 3) + 5 = 0 Reorder the terms: 15 + 6x + 2(3 + y) + 5 = 0 15 + 6x + (3 * 2 + y * 2) + 5 = 0 15 + 6x + (6 + 2y) + 5 = 0 Reorder the terms: 15 + 6 + 5 + 6x + 2y = 0 Combine like terms: 15 + 6 = 21 21 + 5 + 6x + 2y = 0 Combine like terms: 21 + 5 = 26 26 + 6x + 2y = 0 Solving 26 + 6x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 6x + -26 + 2y = 0 + -26 Reorder the terms: 26 + -26 + 6x + 2y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6x + 2y = 0 + -26 6x + 2y = 0 + -26 Combine like terms: 0 + -26 = -26 6x + 2y = -26 Add '-2y' to each side of the equation. 6x + 2y + -2y = -26 + -2y Combine like terms: 2y + -2y = 0 6x + 0 = -26 + -2y 6x = -26 + -2y Divide each side by '6'. x = -4.333333333 + -0.3333333333y Simplifying x = -4.333333333 + -0.3333333333y
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