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Simplifying 17(x + 3) = 6(x + 7) + 31 Reorder the terms: 17(3 + x) = 6(x + 7) + 31 (3 * 17 + x * 17) = 6(x + 7) + 31 (51 + 17x) = 6(x + 7) + 31 Reorder the terms: 51 + 17x = 6(7 + x) + 31 51 + 17x = (7 * 6 + x * 6) + 31 51 + 17x = (42 + 6x) + 31 Reorder the terms: 51 + 17x = 42 + 31 + 6x Combine like terms: 42 + 31 = 73 51 + 17x = 73 + 6x Solving 51 + 17x = 73 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 51 + 17x + -6x = 73 + 6x + -6x Combine like terms: 17x + -6x = 11x 51 + 11x = 73 + 6x + -6x Combine like terms: 6x + -6x = 0 51 + 11x = 73 + 0 51 + 11x = 73 Add '-51' to each side of the equation. 51 + -51 + 11x = 73 + -51 Combine like terms: 51 + -51 = 0 0 + 11x = 73 + -51 11x = 73 + -51 Combine like terms: 73 + -51 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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