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Simplifying 3x + (-1x + -5) = 8 + -1(2x + -6 + x) Reorder the terms: 3x + (-5 + -1x) = 8 + -1(2x + -6 + x) Remove parenthesis around (-5 + -1x) 3x + -5 + -1x = 8 + -1(2x + -6 + x) Reorder the terms: -5 + 3x + -1x = 8 + -1(2x + -6 + x) Combine like terms: 3x + -1x = 2x -5 + 2x = 8 + -1(2x + -6 + x) Reorder the terms: -5 + 2x = 8 + -1(-6 + 2x + x) Combine like terms: 2x + x = 3x -5 + 2x = 8 + -1(-6 + 3x) -5 + 2x = 8 + (-6 * -1 + 3x * -1) -5 + 2x = 8 + (6 + -3x) Combine like terms: 8 + 6 = 14 -5 + 2x = 14 + -3x Solving -5 + 2x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 2x + 3x = 14 + -3x + 3x Combine like terms: 2x + 3x = 5x -5 + 5x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 5x = 14 + 0 -5 + 5x = 14 Add '5' to each side of the equation. -5 + 5 + 5x = 14 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 14 + 5 5x = 14 + 5 Combine like terms: 14 + 5 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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