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Simplifying 9(x + 3) = 7x + 17 Reorder the terms: 9(3 + x) = 7x + 17 (3 * 9 + x * 9) = 7x + 17 (27 + 9x) = 7x + 17 Reorder the terms: 27 + 9x = 17 + 7x Solving 27 + 9x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + 9x + -7x = 17 + 7x + -7x Combine like terms: 9x + -7x = 2x 27 + 2x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + 2x = 17 + 0 27 + 2x = 17 Add '-27' to each side of the equation. 27 + -27 + 2x = 17 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 17 + -27 2x = 17 + -27 Combine like terms: 17 + -27 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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