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Simplifying 6(x + y) + y + 3(x + 3) = 0 (x * 6 + y * 6) + y + 3(x + 3) = 0 (6x + 6y) + y + 3(x + 3) = 0 Reorder the terms: 6x + 6y + y + 3(3 + x) = 0 6x + 6y + y + (3 * 3 + x * 3) = 0 6x + 6y + y + (9 + 3x) = 0 Reorder the terms: 9 + 6x + 3x + 6y + y = 0 Combine like terms: 6x + 3x = 9x 9 + 9x + 6y + y = 0 Combine like terms: 6y + y = 7y 9 + 9x + 7y = 0 Solving 9 + 9x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 9x + -9 + 7y = 0 + -9 Reorder the terms: 9 + -9 + 9x + 7y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9x + 7y = 0 + -9 9x + 7y = 0 + -9 Combine like terms: 0 + -9 = -9 9x + 7y = -9 Add '-7y' to each side of the equation. 9x + 7y + -7y = -9 + -7y Combine like terms: 7y + -7y = 0 9x + 0 = -9 + -7y 9x = -9 + -7y Divide each side by '9'. x = -1 + -0.7777777778y Simplifying x = -1 + -0.7777777778y
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