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Simplifying 3x + -1(2x + 1) = 8 + 5(3 + -1x) Reorder the terms: 3x + -1(1 + 2x) = 8 + 5(3 + -1x) 3x + (1 * -1 + 2x * -1) = 8 + 5(3 + -1x) 3x + (-1 + -2x) = 8 + 5(3 + -1x) Reorder the terms: -1 + 3x + -2x = 8 + 5(3 + -1x) Combine like terms: 3x + -2x = 1x -1 + 1x = 8 + 5(3 + -1x) -1 + 1x = 8 + (3 * 5 + -1x * 5) -1 + 1x = 8 + (15 + -5x) Combine like terms: 8 + 15 = 23 -1 + 1x = 23 + -5x Solving -1 + 1x = 23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1 + 1x + 5x = 23 + -5x + 5x Combine like terms: 1x + 5x = 6x -1 + 6x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 6x = 23 + 0 -1 + 6x = 23 Add '1' to each side of the equation. -1 + 1 + 6x = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 23 + 1 6x = 23 + 1 Combine like terms: 23 + 1 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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