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Simplifying 2x + -8 + 3x = 6 + -1(1 + -3x) Reorder the terms: -8 + 2x + 3x = 6 + -1(1 + -3x) Combine like terms: 2x + 3x = 5x -8 + 5x = 6 + -1(1 + -3x) -8 + 5x = 6 + (1 * -1 + -3x * -1) -8 + 5x = 6 + (-1 + 3x) Combine like terms: 6 + -1 = 5 -8 + 5x = 5 + 3x Solving -8 + 5x = 5 + 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. -8 + 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x -8 + 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 2x = 5 + 0 -8 + 2x = 5 Add '8' to each side of the equation. -8 + 8 + 2x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 5 + 8 2x = 5 + 8 Combine like terms: 5 + 8 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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