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Simplifying 6x + -8 = -12(3x + -1(0.333)) Reorder the terms: -8 + 6x = -12(3x + -1(0.333)) Multiply -1 * 0.333 -8 + 6x = -12(3x + -0.333) Reorder the terms: -8 + 6x = -12(-0.333 + 3x) -8 + 6x = (-0.333 * -12 + 3x * -12) -8 + 6x = (3.996 + -36x) Solving -8 + 6x = 3.996 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -8 + 6x + 36x = 3.996 + -36x + 36x Combine like terms: 6x + 36x = 42x -8 + 42x = 3.996 + -36x + 36x Combine like terms: -36x + 36x = 0 -8 + 42x = 3.996 + 0 -8 + 42x = 3.996 Add '8' to each side of the equation. -8 + 8 + 42x = 3.996 + 8 Combine like terms: -8 + 8 = 0 0 + 42x = 3.996 + 8 42x = 3.996 + 8 Combine like terms: 3.996 + 8 = 11.996 42x = 11.996 Divide each side by '42'. x = 0.2856190476 Simplifying x = 0.2856190476
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