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Simplifying 0.166666(3x + 12) + -4x = 7x + -5(x + -3) Reorder the terms: 0.166666(12 + 3x) + -4x = 7x + -5(x + -3) (12 * 0.166666 + 3x * 0.166666) + -4x = 7x + -5(x + -3) (1.999992 + 0.499998x) + -4x = 7x + -5(x + -3) Combine like terms: 0.499998x + -4x = -3.500002x 1.999992 + -3.500002x = 7x + -5(x + -3) Reorder the terms: 1.999992 + -3.500002x = 7x + -5(-3 + x) 1.999992 + -3.500002x = 7x + (-3 * -5 + x * -5) 1.999992 + -3.500002x = 7x + (15 + -5x) Reorder the terms: 1.999992 + -3.500002x = 15 + 7x + -5x Combine like terms: 7x + -5x = 2x 1.999992 + -3.500002x = 15 + 2x Solving 1.999992 + -3.500002x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.999992 + -3.500002x + -2x = 15 + 2x + -2x Combine like terms: -3.500002x + -2x = -5.500002x 1.999992 + -5.500002x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 1.999992 + -5.500002x = 15 + 0 1.999992 + -5.500002x = 15 Add '-1.999992' to each side of the equation. 1.999992 + -1.999992 + -5.500002x = 15 + -1.999992 Combine like terms: 1.999992 + -1.999992 = 0.000000 0.000000 + -5.500002x = 15 + -1.999992 -5.500002x = 15 + -1.999992 Combine like terms: 15 + -1.999992 = 13.000008 -5.500002x = 13.000008 Divide each side by '-5.500002'. x = -2.363636959 Simplifying x = -2.363636959
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