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Simplifying 17x + -6(9 + -2x) = 21 + -1(7x + 15) 17x + (9 * -6 + -2x * -6) = 21 + -1(7x + 15) 17x + (-54 + 12x) = 21 + -1(7x + 15) Reorder the terms: -54 + 17x + 12x = 21 + -1(7x + 15) Combine like terms: 17x + 12x = 29x -54 + 29x = 21 + -1(7x + 15) Reorder the terms: -54 + 29x = 21 + -1(15 + 7x) -54 + 29x = 21 + (15 * -1 + 7x * -1) -54 + 29x = 21 + (-15 + -7x) Combine like terms: 21 + -15 = 6 -54 + 29x = 6 + -7x Solving -54 + 29x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -54 + 29x + 7x = 6 + -7x + 7x Combine like terms: 29x + 7x = 36x -54 + 36x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -54 + 36x = 6 + 0 -54 + 36x = 6 Add '54' to each side of the equation. -54 + 54 + 36x = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 36x = 6 + 54 36x = 6 + 54 Combine like terms: 6 + 54 = 60 36x = 60 Divide each side by '36'. x = 1.666666667 Simplifying x = 1.666666667
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