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Simplifying x + -6 = 0.666(x + -3) Reorder the terms: -6 + x = 0.666(x + -3) Reorder the terms: -6 + x = 0.666(-3 + x) -6 + x = (-3 * 0.666 + x * 0.666) -6 + x = (-1.998 + 0.666x) Solving -6 + x = -1.998 + 0.666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.666x' to each side of the equation. -6 + x + -0.666x = -1.998 + 0.666x + -0.666x Combine like terms: x + -0.666x = 0.334x -6 + 0.334x = -1.998 + 0.666x + -0.666x Combine like terms: 0.666x + -0.666x = 0.000 -6 + 0.334x = -1.998 + 0.000 -6 + 0.334x = -1.998 Add '6' to each side of the equation. -6 + 6 + 0.334x = -1.998 + 6 Combine like terms: -6 + 6 = 0 0 + 0.334x = -1.998 + 6 0.334x = -1.998 + 6 Combine like terms: -1.998 + 6 = 4.002 0.334x = 4.002 Divide each side by '0.334'. x = 11.98203593 Simplifying x = 11.98203593
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