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Simplifying 8(8 + 10) = 9(9 + (2x + -17)) Combine like terms: 8 + 10 = 18 8(18) = 9(9 + (2x + -17)) Multiply 8 * 18 144 = 9(9 + (2x + -17)) Reorder the terms: 144 = 9(9 + (-17 + 2x)) Remove parenthesis around (-17 + 2x) 144 = 9(9 + -17 + 2x) Combine like terms: 9 + -17 = -8 144 = 9(-8 + 2x) 144 = (-8 * 9 + 2x * 9) 144 = (-72 + 18x) Solving 144 = -72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 144 + -18x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 144 + -18x = -72 + 0 144 + -18x = -72 Add '-144' to each side of the equation. 144 + -144 + -18x = -72 + -144 Combine like terms: 144 + -144 = 0 0 + -18x = -72 + -144 -18x = -72 + -144 Combine like terms: -72 + -144 = -216 -18x = -216 Divide each side by '-18'. x = 12 Simplifying x = 12
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