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Simplifying 2(3x + 5) = 9(5x + 8) + 1 Reorder the terms: 2(5 + 3x) = 9(5x + 8) + 1 (5 * 2 + 3x * 2) = 9(5x + 8) + 1 (10 + 6x) = 9(5x + 8) + 1 Reorder the terms: 10 + 6x = 9(8 + 5x) + 1 10 + 6x = (8 * 9 + 5x * 9) + 1 10 + 6x = (72 + 45x) + 1 Reorder the terms: 10 + 6x = 72 + 1 + 45x Combine like terms: 72 + 1 = 73 10 + 6x = 73 + 45x Solving 10 + 6x = 73 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 10 + 6x + -45x = 73 + 45x + -45x Combine like terms: 6x + -45x = -39x 10 + -39x = 73 + 45x + -45x Combine like terms: 45x + -45x = 0 10 + -39x = 73 + 0 10 + -39x = 73 Add '-10' to each side of the equation. 10 + -10 + -39x = 73 + -10 Combine like terms: 10 + -10 = 0 0 + -39x = 73 + -10 -39x = 73 + -10 Combine like terms: 73 + -10 = 63 -39x = 63 Divide each side by '-39'. x = -1.615384615 Simplifying x = -1.615384615
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