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Simplifying -7(7x + 2) = 32 + -3x Reorder the terms: -7(2 + 7x) = 32 + -3x (2 * -7 + 7x * -7) = 32 + -3x (-14 + -49x) = 32 + -3x Solving -14 + -49x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + -49x + 3x = 32 + -3x + 3x Combine like terms: -49x + 3x = -46x -14 + -46x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + -46x = 32 + 0 -14 + -46x = 32 Add '14' to each side of the equation. -14 + 14 + -46x = 32 + 14 Combine like terms: -14 + 14 = 0 0 + -46x = 32 + 14 -46x = 32 + 14 Combine like terms: 32 + 14 = 46 -46x = 46 Divide each side by '-46'. x = -1 Simplifying x = -1
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