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Simplifying -1(-3x + -9) + 7 = 6x + -1 Reorder the terms: -1(-9 + -3x) + 7 = 6x + -1 (-9 * -1 + -3x * -1) + 7 = 6x + -1 (9 + 3x) + 7 = 6x + -1 Reorder the terms: 9 + 7 + 3x = 6x + -1 Combine like terms: 9 + 7 = 16 16 + 3x = 6x + -1 Reorder the terms: 16 + 3x = -1 + 6x Solving 16 + 3x = -1 + 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. 16 + 3x + -6x = -1 + 6x + -6x Combine like terms: 3x + -6x = -3x 16 + -3x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -3x = -1 + 0 16 + -3x = -1 Add '-16' to each side of the equation. 16 + -16 + -3x = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -1 + -16 -3x = -1 + -16 Combine like terms: -1 + -16 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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