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Simplifying 9(9 + 15x) = 8(8 + 19x) (9 * 9 + 15x * 9) = 8(8 + 19x) (81 + 135x) = 8(8 + 19x) 81 + 135x = (8 * 8 + 19x * 8) 81 + 135x = (64 + 152x) Solving 81 + 135x = 64 + 152x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-152x' to each side of the equation. 81 + 135x + -152x = 64 + 152x + -152x Combine like terms: 135x + -152x = -17x 81 + -17x = 64 + 152x + -152x Combine like terms: 152x + -152x = 0 81 + -17x = 64 + 0 81 + -17x = 64 Add '-81' to each side of the equation. 81 + -81 + -17x = 64 + -81 Combine like terms: 81 + -81 = 0 0 + -17x = 64 + -81 -17x = 64 + -81 Combine like terms: 64 + -81 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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