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Simplifying 6x + -27.7 = 1.6666666(30 + -9x) Reorder the terms: -27.7 + 6x = 1.6666666(30 + -9x) -27.7 + 6x = (30 * 1.6666666 + -9x * 1.6666666) -27.7 + 6x = (49.999998 + -14.9999994x) Solving -27.7 + 6x = 49.999998 + -14.9999994x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14.9999994x' to each side of the equation. -27.7 + 6x + 14.9999994x = 49.999998 + -14.9999994x + 14.9999994x Combine like terms: 6x + 14.9999994x = 20.9999994x -27.7 + 20.9999994x = 49.999998 + -14.9999994x + 14.9999994x Combine like terms: -14.9999994x + 14.9999994x = 0.0000000 -27.7 + 20.9999994x = 49.999998 + 0.0000000 -27.7 + 20.9999994x = 49.999998 Add '27.7' to each side of the equation. -27.7 + 27.7 + 20.9999994x = 49.999998 + 27.7 Combine like terms: -27.7 + 27.7 = 0.0 0.0 + 20.9999994x = 49.999998 + 27.7 20.9999994x = 49.999998 + 27.7 Combine like terms: 49.999998 + 27.7 = 77.699998 20.9999994x = 77.699998 Divide each side by '20.9999994'. x = 3.70000001 Simplifying x = 3.70000001
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