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Simplifying 6x + -1(x + 9) = 9 + (3x + -1) Reorder the terms: 6x + -1(9 + x) = 9 + (3x + -1) 6x + (9 * -1 + x * -1) = 9 + (3x + -1) 6x + (-9 + -1x) = 9 + (3x + -1) Reorder the terms: -9 + 6x + -1x = 9 + (3x + -1) Combine like terms: 6x + -1x = 5x -9 + 5x = 9 + (3x + -1) Reorder the terms: -9 + 5x = 9 + (-1 + 3x) Remove parenthesis around (-1 + 3x) -9 + 5x = 9 + -1 + 3x Combine like terms: 9 + -1 = 8 -9 + 5x = 8 + 3x Solving -9 + 5x = 8 + 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. -9 + 5x + -3x = 8 + 3x + -3x Combine like terms: 5x + -3x = 2x -9 + 2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 2x = 8 + 0 -9 + 2x = 8 Add '9' to each side of the equation. -9 + 9 + 2x = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 8 + 9 2x = 8 + 9 Combine like terms: 8 + 9 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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