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Simplifying 2(7x + 3y) + 4 + -3x + 2y + -1 = 0 (7x * 2 + 3y * 2) + 4 + -3x + 2y + -1 = 0 (14x + 6y) + 4 + -3x + 2y + -1 = 0 Reorder the terms: 4 + -1 + 14x + -3x + 6y + 2y = 0 Combine like terms: 4 + -1 = 3 3 + 14x + -3x + 6y + 2y = 0 Combine like terms: 14x + -3x = 11x 3 + 11x + 6y + 2y = 0 Combine like terms: 6y + 2y = 8y 3 + 11x + 8y = 0 Solving 3 + 11x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 11x + -3 + 8y = 0 + -3 Reorder the terms: 3 + -3 + 11x + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11x + 8y = 0 + -3 11x + 8y = 0 + -3 Combine like terms: 0 + -3 = -3 11x + 8y = -3 Add '-8y' to each side of the equation. 11x + 8y + -8y = -3 + -8y Combine like terms: 8y + -8y = 0 11x + 0 = -3 + -8y 11x = -3 + -8y Divide each side by '11'. x = -0.2727272727 + -0.7272727273y Simplifying x = -0.2727272727 + -0.7272727273y
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