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Simplifying 1.16666667(3x + -5) = 2.5(x + 3) Reorder the terms: 1.16666667(-5 + 3x) = 2.5(x + 3) (-5 * 1.16666667 + 3x * 1.16666667) = 2.5(x + 3) (-5.83333335 + 3.50000001x) = 2.5(x + 3) Reorder the terms: -5.83333335 + 3.50000001x = 2.5(3 + x) -5.83333335 + 3.50000001x = (3 * 2.5 + x * 2.5) -5.83333335 + 3.50000001x = (7.5 + 2.5x) Solving -5.83333335 + 3.50000001x = 7.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -5.83333335 + 3.50000001x + -2.5x = 7.5 + 2.5x + -2.5x Combine like terms: 3.50000001x + -2.5x = 1.00000001x -5.83333335 + 1.00000001x = 7.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -5.83333335 + 1.00000001x = 7.5 + 0.0 -5.83333335 + 1.00000001x = 7.5 Add '5.83333335' to each side of the equation. -5.83333335 + 5.83333335 + 1.00000001x = 7.5 + 5.83333335 Combine like terms: -5.83333335 + 5.83333335 = 0.00000000 0.00000000 + 1.00000001x = 7.5 + 5.83333335 1.00000001x = 7.5 + 5.83333335 Combine like terms: 7.5 + 5.83333335 = 13.33333335 1.00000001x = 13.33333335 Divide each side by '1.00000001'. x = 13.33333322 Simplifying x = 13.33333322
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