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Simplifying 6 + -3(x + 2y) + 5x + -1y = 0 6 + (x * -3 + 2y * -3) + 5x + -1y = 0 6 + (-3x + -6y) + 5x + -1y = 0 Reorder the terms: 6 + -3x + 5x + -6y + -1y = 0 Combine like terms: -3x + 5x = 2x 6 + 2x + -6y + -1y = 0 Combine like terms: -6y + -1y = -7y 6 + 2x + -7y = 0 Solving 6 + 2x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + -6 + -7y = 0 + -6 Reorder the terms: 6 + -6 + 2x + -7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + -7y = 0 + -6 2x + -7y = 0 + -6 Combine like terms: 0 + -6 = -6 2x + -7y = -6 Add '7y' to each side of the equation. 2x + -7y + 7y = -6 + 7y Combine like terms: -7y + 7y = 0 2x + 0 = -6 + 7y 2x = -6 + 7y Divide each side by '2'. x = -3 + 3.5y Simplifying x = -3 + 3.5y
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