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Simplifying (2x + -8) + 5 = 6 + -1(3x + -5) Reorder the terms: (-8 + 2x) + 5 = 6 + -1(3x + -5) Remove parenthesis around (-8 + 2x) -8 + 2x + 5 = 6 + -1(3x + -5) Reorder the terms: -8 + 5 + 2x = 6 + -1(3x + -5) Combine like terms: -8 + 5 = -3 -3 + 2x = 6 + -1(3x + -5) Reorder the terms: -3 + 2x = 6 + -1(-5 + 3x) -3 + 2x = 6 + (-5 * -1 + 3x * -1) -3 + 2x = 6 + (5 + -3x) Combine like terms: 6 + 5 = 11 -3 + 2x = 11 + -3x Solving -3 + 2x = 11 + -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. -3 + 2x + 3x = 11 + -3x + 3x Combine like terms: 2x + 3x = 5x -3 + 5x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 5x = 11 + 0 -3 + 5x = 11 Add '3' to each side of the equation. -3 + 3 + 5x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 11 + 3 5x = 11 + 3 Combine like terms: 11 + 3 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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