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Simplifying 3x + -1(5 + 2x) = 8 + (9 + -6x) 3x + (5 * -1 + 2x * -1) = 8 + (9 + -6x) 3x + (-5 + -2x) = 8 + (9 + -6x) Reorder the terms: -5 + 3x + -2x = 8 + (9 + -6x) Combine like terms: 3x + -2x = 1x -5 + 1x = 8 + (9 + -6x) Remove parenthesis around (9 + -6x) -5 + 1x = 8 + 9 + -6x Combine like terms: 8 + 9 = 17 -5 + 1x = 17 + -6x Solving -5 + 1x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 1x + 6x = 17 + -6x + 6x Combine like terms: 1x + 6x = 7x -5 + 7x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 7x = 17 + 0 -5 + 7x = 17 Add '5' to each side of the equation. -5 + 5 + 7x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 17 + 5 7x = 17 + 5 Combine like terms: 17 + 5 = 22 7x = 22 Divide each side by '7'. x = 3.142857143 Simplifying x = 3.142857143
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