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Simplifying 0.8333(6x + 12) + 1 = 0.6666(9x + -3) + 4 Reorder the terms: 0.8333(12 + 6x) + 1 = 0.6666(9x + -3) + 4 (12 * 0.8333 + 6x * 0.8333) + 1 = 0.6666(9x + -3) + 4 (9.9996 + 4.9998x) + 1 = 0.6666(9x + -3) + 4 Reorder the terms: 9.9996 + 1 + 4.9998x = 0.6666(9x + -3) + 4 Combine like terms: 9.9996 + 1 = 10.9996 10.9996 + 4.9998x = 0.6666(9x + -3) + 4 Reorder the terms: 10.9996 + 4.9998x = 0.6666(-3 + 9x) + 4 10.9996 + 4.9998x = (-3 * 0.6666 + 9x * 0.6666) + 4 10.9996 + 4.9998x = (-1.9998 + 5.9994x) + 4 Reorder the terms: 10.9996 + 4.9998x = -1.9998 + 4 + 5.9994x Combine like terms: -1.9998 + 4 = 2.0002 10.9996 + 4.9998x = 2.0002 + 5.9994x Solving 10.9996 + 4.9998x = 2.0002 + 5.9994x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.9994x' to each side of the equation. 10.9996 + 4.9998x + -5.9994x = 2.0002 + 5.9994x + -5.9994x Combine like terms: 4.9998x + -5.9994x = -0.9996x 10.9996 + -0.9996x = 2.0002 + 5.9994x + -5.9994x Combine like terms: 5.9994x + -5.9994x = 0.0000 10.9996 + -0.9996x = 2.0002 + 0.0000 10.9996 + -0.9996x = 2.0002 Add '-10.9996' to each side of the equation. 10.9996 + -10.9996 + -0.9996x = 2.0002 + -10.9996 Combine like terms: 10.9996 + -10.9996 = 0.0000 0.0000 + -0.9996x = 2.0002 + -10.9996 -0.9996x = 2.0002 + -10.9996 Combine like terms: 2.0002 + -10.9996 = -8.9994 -0.9996x = -8.9994 Divide each side by '-0.9996'. x = 9.0030012 Simplifying x = 9.0030012
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