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Simplifying 0.333(18x + -12) = 2(3x + -2) Reorder the terms: 0.333(-12 + 18x) = 2(3x + -2) (-12 * 0.333 + 18x * 0.333) = 2(3x + -2) (-3.996 + 5.994x) = 2(3x + -2) Reorder the terms: -3.996 + 5.994x = 2(-2 + 3x) -3.996 + 5.994x = (-2 * 2 + 3x * 2) -3.996 + 5.994x = (-4 + 6x) Solving -3.996 + 5.994x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3.996 + 5.994x + -6x = -4 + 6x + -6x Combine like terms: 5.994x + -6x = -0.006x -3.996 + -0.006x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -3.996 + -0.006x = -4 + 0 -3.996 + -0.006x = -4 Add '3.996' to each side of the equation. -3.996 + 3.996 + -0.006x = -4 + 3.996 Combine like terms: -3.996 + 3.996 = 0.000 0.000 + -0.006x = -4 + 3.996 -0.006x = -4 + 3.996 Combine like terms: -4 + 3.996 = -0.004 -0.006x = -0.004 Divide each side by '-0.006'. x = 0.6666666667 Simplifying x = 0.6666666667
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