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Simplifying 7(3x + -7) = -17 + 5x Reorder the terms: 7(-7 + 3x) = -17 + 5x (-7 * 7 + 3x * 7) = -17 + 5x (-49 + 21x) = -17 + 5x Solving -49 + 21x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -49 + 21x + -5x = -17 + 5x + -5x Combine like terms: 21x + -5x = 16x -49 + 16x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -49 + 16x = -17 + 0 -49 + 16x = -17 Add '49' to each side of the equation. -49 + 49 + 16x = -17 + 49 Combine like terms: -49 + 49 = 0 0 + 16x = -17 + 49 16x = -17 + 49 Combine like terms: -17 + 49 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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