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Simplifying 0.0714285714(x + -9) = 0.2857142857(x + 4) + -0.1428571429x Reorder the terms: 0.0714285714(-9 + x) = 0.2857142857(x + 4) + -0.1428571429x (-9 * 0.0714285714 + x * 0.0714285714) = 0.2857142857(x + 4) + -0.1428571429x (-0.6428571426 + 0.0714285714x) = 0.2857142857(x + 4) + -0.1428571429x Reorder the terms: -0.6428571426 + 0.0714285714x = 0.2857142857(4 + x) + -0.1428571429x -0.6428571426 + 0.0714285714x = (4 * 0.2857142857 + x * 0.2857142857) + -0.1428571429x -0.6428571426 + 0.0714285714x = (1.142857143 + 0.2857142857x) + -0.1428571429x Combine like terms: 0.2857142857x + -0.1428571429x = 0.1428571428x -0.6428571426 + 0.0714285714x = 1.142857143 + 0.1428571428x Solving -0.6428571426 + 0.0714285714x = 1.142857143 + 0.1428571428x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1428571428x' to each side of the equation. -0.6428571426 + 0.0714285714x + -0.1428571428x = 1.142857143 + 0.1428571428x + -0.1428571428x Combine like terms: 0.0714285714x + -0.1428571428x = -0.0714285714x -0.6428571426 + -0.0714285714x = 1.142857143 + 0.1428571428x + -0.1428571428x Combine like terms: 0.1428571428x + -0.1428571428x = 0.0000000000 -0.6428571426 + -0.0714285714x = 1.142857143 + 0.0000000000 -0.6428571426 + -0.0714285714x = 1.142857143 Add '0.6428571426' to each side of the equation. -0.6428571426 + 0.6428571426 + -0.0714285714x = 1.142857143 + 0.6428571426 Combine like terms: -0.6428571426 + 0.6428571426 = 0.0000000000 0.0000000000 + -0.0714285714x = 1.142857143 + 0.6428571426 -0.0714285714x = 1.142857143 + 0.6428571426 Combine like terms: 1.142857143 + 0.6428571426 = 1.7857142856 -0.0714285714x = 1.7857142856 Divide each side by '-0.0714285714'. x = -25.00000001 Simplifying x = -25.00000001
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