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Simplifying 0.66666667(9x + -12) + x = 7(x + -1) + -1 Reorder the terms: 0.66666667(-12 + 9x) + x = 7(x + -1) + -1 (-12 * 0.66666667 + 9x * 0.66666667) + x = 7(x + -1) + -1 (-8.00000004 + 6.00000003x) + x = 7(x + -1) + -1 Combine like terms: 6.00000003x + x = 7.00000003x -8.00000004 + 7.00000003x = 7(x + -1) + -1 Reorder the terms: -8.00000004 + 7.00000003x = 7(-1 + x) + -1 -8.00000004 + 7.00000003x = (-1 * 7 + x * 7) + -1 -8.00000004 + 7.00000003x = (-7 + 7x) + -1 Reorder the terms: -8.00000004 + 7.00000003x = -7 + -1 + 7x Combine like terms: -7 + -1 = -8 -8.00000004 + 7.00000003x = -8 + 7x Solving -8.00000004 + 7.00000003x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8.00000004 + 7.00000003x + -7x = -8 + 7x + -7x Combine like terms: 7.00000003x + -7x = 0.00000003x -8.00000004 + 0.00000003x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -8.00000004 + 0.00000003x = -8 + 0 -8.00000004 + 0.00000003x = -8 Add '8.00000004' to each side of the equation. -8.00000004 + 8.00000004 + 0.00000003x = -8 + 8.00000004 Combine like terms: -8.00000004 + 8.00000004 = 0.00000000 0.00000000 + 0.00000003x = -8 + 8.00000004 0.00000003x = -8 + 8.00000004 Combine like terms: -8 + 8.00000004 = 0.00000004 0.00000003x = 0.00000004 Divide each side by '0.00000003'. x = 1.333333333 Simplifying x = 1.333333333
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