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Simplifying 8(x + -2y) = 9(3x + y) (x * 8 + -2y * 8) = 9(3x + y) (8x + -16y) = 9(3x + y) 8x + -16y = (3x * 9 + y * 9) 8x + -16y = (27x + 9y) Solving 8x + -16y = 27x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 8x + -27x + -16y = 27x + -27x + 9y Combine like terms: 8x + -27x = -19x -19x + -16y = 27x + -27x + 9y Combine like terms: 27x + -27x = 0 -19x + -16y = 0 + 9y -19x + -16y = 9y Add '16y' to each side of the equation. -19x + -16y + 16y = 9y + 16y Combine like terms: -16y + 16y = 0 -19x + 0 = 9y + 16y -19x = 9y + 16y Combine like terms: 9y + 16y = 25y -19x = 25y Divide each side by '-19'. x = -1.315789474y Simplifying x = -1.315789474y
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