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Simplifying 9(19 + -1x) = 7(3x + 1) (19 * 9 + -1x * 9) = 7(3x + 1) (171 + -9x) = 7(3x + 1) Reorder the terms: 171 + -9x = 7(1 + 3x) 171 + -9x = (1 * 7 + 3x * 7) 171 + -9x = (7 + 21x) Solving 171 + -9x = 7 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 171 + -9x + -21x = 7 + 21x + -21x Combine like terms: -9x + -21x = -30x 171 + -30x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 171 + -30x = 7 + 0 171 + -30x = 7 Add '-171' to each side of the equation. 171 + -171 + -30x = 7 + -171 Combine like terms: 171 + -171 = 0 0 + -30x = 7 + -171 -30x = 7 + -171 Combine like terms: 7 + -171 = -164 -30x = -164 Divide each side by '-30'. x = 5.466666667 Simplifying x = 5.466666667
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