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Simplifying 6x + -3(y + -7) + 2(5x + -1y) = 0 Reorder the terms: 6x + -3(-7 + y) + 2(5x + -1y) = 0 6x + (-7 * -3 + y * -3) + 2(5x + -1y) = 0 6x + (21 + -3y) + 2(5x + -1y) = 0 6x + 21 + -3y + (5x * 2 + -1y * 2) = 0 6x + 21 + -3y + (10x + -2y) = 0 Reorder the terms: 21 + 6x + 10x + -3y + -2y = 0 Combine like terms: 6x + 10x = 16x 21 + 16x + -3y + -2y = 0 Combine like terms: -3y + -2y = -5y 21 + 16x + -5y = 0 Solving 21 + 16x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 16x + -21 + -5y = 0 + -21 Reorder the terms: 21 + -21 + 16x + -5y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 16x + -5y = 0 + -21 16x + -5y = 0 + -21 Combine like terms: 0 + -21 = -21 16x + -5y = -21 Add '5y' to each side of the equation. 16x + -5y + 5y = -21 + 5y Combine like terms: -5y + 5y = 0 16x + 0 = -21 + 5y 16x = -21 + 5y Divide each side by '16'. x = -1.3125 + 0.3125y Simplifying x = -1.3125 + 0.3125y
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