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Simplifying 9(x + -3) + 17x + 3 = 3(7x + 2) Reorder the terms: 9(-3 + x) + 17x + 3 = 3(7x + 2) (-3 * 9 + x * 9) + 17x + 3 = 3(7x + 2) (-27 + 9x) + 17x + 3 = 3(7x + 2) Reorder the terms: -27 + 3 + 9x + 17x = 3(7x + 2) Combine like terms: -27 + 3 = -24 -24 + 9x + 17x = 3(7x + 2) Combine like terms: 9x + 17x = 26x -24 + 26x = 3(7x + 2) Reorder the terms: -24 + 26x = 3(2 + 7x) -24 + 26x = (2 * 3 + 7x * 3) -24 + 26x = (6 + 21x) Solving -24 + 26x = 6 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -24 + 26x + -21x = 6 + 21x + -21x Combine like terms: 26x + -21x = 5x -24 + 5x = 6 + 21x + -21x Combine like terms: 21x + -21x = 0 -24 + 5x = 6 + 0 -24 + 5x = 6 Add '24' to each side of the equation. -24 + 24 + 5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 6 + 24 5x = 6 + 24 Combine like terms: 6 + 24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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