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Simplifying 3(x + 7y) + -1(8x + 9) = 0 (x * 3 + 7y * 3) + -1(8x + 9) = 0 (3x + 21y) + -1(8x + 9) = 0 Reorder the terms: 3x + 21y + -1(9 + 8x) = 0 3x + 21y + (9 * -1 + 8x * -1) = 0 3x + 21y + (-9 + -8x) = 0 Reorder the terms: -9 + 3x + -8x + 21y = 0 Combine like terms: 3x + -8x = -5x -9 + -5x + 21y = 0 Solving -9 + -5x + 21y = 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 + -5x + 9 + 21y = 0 + 9 Reorder the terms: -9 + 9 + -5x + 21y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x + 21y = 0 + 9 -5x + 21y = 0 + 9 Combine like terms: 0 + 9 = 9 -5x + 21y = 9 Add '-21y' to each side of the equation. -5x + 21y + -21y = 9 + -21y Combine like terms: 21y + -21y = 0 -5x + 0 = 9 + -21y -5x = 9 + -21y Divide each side by '-5'. x = -1.8 + 4.2y Simplifying x = -1.8 + 4.2y
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