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Simplifying (x + -6) = 0.3x + 5 + -3 + 0.1x Reorder the terms: (-6 + x) = 0.3x + 5 + -3 + 0.1x Remove parenthesis around (-6 + x) -6 + x = 0.3x + 5 + -3 + 0.1x Reorder the terms: -6 + x = 5 + -3 + 0.3x + 0.1x Combine like terms: 5 + -3 = 2 -6 + x = 2 + 0.3x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x -6 + x = 2 + 0.4x Solving -6 + x = 2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -6 + x + -0.4x = 2 + 0.4x + -0.4x Combine like terms: x + -0.4x = 0.6x -6 + 0.6x = 2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -6 + 0.6x = 2 + 0.0 -6 + 0.6x = 2 Add '6' to each side of the equation. -6 + 6 + 0.6x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.6x = 2 + 6 0.6x = 2 + 6 Combine like terms: 2 + 6 = 8 0.6x = 8 Divide each side by '0.6'. x = 13.33333333 Simplifying x = 13.33333333
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