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Simplifying 0.429x + -1 = 0.667(6x + -2) Reorder the terms: -1 + 0.429x = 0.667(6x + -2) Reorder the terms: -1 + 0.429x = 0.667(-2 + 6x) -1 + 0.429x = (-2 * 0.667 + 6x * 0.667) -1 + 0.429x = (-1.334 + 4.002x) Solving -1 + 0.429x = -1.334 + 4.002x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.002x' to each side of the equation. -1 + 0.429x + -4.002x = -1.334 + 4.002x + -4.002x Combine like terms: 0.429x + -4.002x = -3.573x -1 + -3.573x = -1.334 + 4.002x + -4.002x Combine like terms: 4.002x + -4.002x = 0.000 -1 + -3.573x = -1.334 + 0.000 -1 + -3.573x = -1.334 Add '1' to each side of the equation. -1 + 1 + -3.573x = -1.334 + 1 Combine like terms: -1 + 1 = 0 0 + -3.573x = -1.334 + 1 -3.573x = -1.334 + 1 Combine like terms: -1.334 + 1 = -0.334 -3.573x = -0.334 Divide each side by '-3.573'. x = 0.0934788693 Simplifying x = 0.0934788693
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