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Simplifying 0.333333(3x + -12) + 11 = 1 + 1.5x Reorder the terms: 0.333333(-12 + 3x) + 11 = 1 + 1.5x (-12 * 0.333333 + 3x * 0.333333) + 11 = 1 + 1.5x (-3.999996 + 0.999999x) + 11 = 1 + 1.5x Reorder the terms: -3.999996 + 11 + 0.999999x = 1 + 1.5x Combine like terms: -3.999996 + 11 = 7.000004 7.000004 + 0.999999x = 1 + 1.5x Solving 7.000004 + 0.999999x = 1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 7.000004 + 0.999999x + -1.5x = 1 + 1.5x + -1.5x Combine like terms: 0.999999x + -1.5x = -0.500001x 7.000004 + -0.500001x = 1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 7.000004 + -0.500001x = 1 + 0.0 7.000004 + -0.500001x = 1 Add '-7.000004' to each side of the equation. 7.000004 + -7.000004 + -0.500001x = 1 + -7.000004 Combine like terms: 7.000004 + -7.000004 = 0.000000 0.000000 + -0.500001x = 1 + -7.000004 -0.500001x = 1 + -7.000004 Combine like terms: 1 + -7.000004 = -6.000004 -0.500001x = -6.000004 Divide each side by '-0.500001'. x = 11.999984 Simplifying x = 11.999984
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