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Simplifying 6x + -27.7 = 1.66666666667(30 + -9x) Reorder the terms: -27.7 + 6x = 1.66666666667(30 + -9x) -27.7 + 6x = (30 * 1.66666666667 + -9x * 1.66666666667) -27.7 + 6x = (50 + -15x) Solving -27.7 + 6x = 50 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -27.7 + 6x + 15x = 50 + -15x + 15x Combine like terms: 6x + 15x = 21x -27.7 + 21x = 50 + -15x + 15x Combine like terms: -15x + 15x = 0 -27.7 + 21x = 50 + 0 -27.7 + 21x = 50 Add '27.7' to each side of the equation. -27.7 + 27.7 + 21x = 50 + 27.7 Combine like terms: -27.7 + 27.7 = 0.0 0.0 + 21x = 50 + 27.7 21x = 50 + 27.7 Combine like terms: 50 + 27.7 = 77.7 21x = 77.7 Divide each side by '21'. x = 3.7 Simplifying x = 3.7
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