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Simplifying 6y + 2(3x + 5) + 2y + 3 = 0 Reorder the terms: 6y + 2(5 + 3x) + 2y + 3 = 0 6y + (5 * 2 + 3x * 2) + 2y + 3 = 0 6y + (10 + 6x) + 2y + 3 = 0 Reorder the terms: 10 + 3 + 6x + 6y + 2y = 0 Combine like terms: 10 + 3 = 13 13 + 6x + 6y + 2y = 0 Combine like terms: 6y + 2y = 8y 13 + 6x + 8y = 0 Solving 13 + 6x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 6x + -13 + 8y = 0 + -13 Reorder the terms: 13 + -13 + 6x + 8y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6x + 8y = 0 + -13 6x + 8y = 0 + -13 Combine like terms: 0 + -13 = -13 6x + 8y = -13 Add '-8y' to each side of the equation. 6x + 8y + -8y = -13 + -8y Combine like terms: 8y + -8y = 0 6x + 0 = -13 + -8y 6x = -13 + -8y Divide each side by '6'. x = -2.166666667 + -1.333333333y Simplifying x = -2.166666667 + -1.333333333y
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