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Simplifying 3(7x + -9) = -15 + 17x Reorder the terms: 3(-9 + 7x) = -15 + 17x (-9 * 3 + 7x * 3) = -15 + 17x (-27 + 21x) = -15 + 17x Solving -27 + 21x = -15 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -27 + 21x + -17x = -15 + 17x + -17x Combine like terms: 21x + -17x = 4x -27 + 4x = -15 + 17x + -17x Combine like terms: 17x + -17x = 0 -27 + 4x = -15 + 0 -27 + 4x = -15 Add '27' to each side of the equation. -27 + 27 + 4x = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = -15 + 27 4x = -15 + 27 Combine like terms: -15 + 27 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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