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5(x + 9) = 10
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x = -7
5x+45=10 5x=-35 x=-7
Distributive property: 5x + 45 = 10 5x = -35 x = -7
use distributive property \[5x+45=10\] \[5x=10-45\] \[5x=-35\] \[x=-35/5\] \[x=-7\]
Simplifying 5(x + 9) = 10 Reorder the terms: 5(9 + x) = 10 (9 * 5 + x * 5) = 10 (45 + 5x) = 10 Solving 45 + 5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 10 + -45 5x = 10 + -45 Combine like terms: 10 + -45 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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