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Simplifying -8x + 7(3x + -7) = -32 + -4x Reorder the terms: -8x + 7(-7 + 3x) = -32 + -4x -8x + (-7 * 7 + 3x * 7) = -32 + -4x -8x + (-49 + 21x) = -32 + -4x Reorder the terms: -49 + -8x + 21x = -32 + -4x Combine like terms: -8x + 21x = 13x -49 + 13x = -32 + -4x Solving -49 + 13x = -32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -49 + 13x + 4x = -32 + -4x + 4x Combine like terms: 13x + 4x = 17x -49 + 17x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -49 + 17x = -32 + 0 -49 + 17x = -32 Add '49' to each side of the equation. -49 + 49 + 17x = -32 + 49 Combine like terms: -49 + 49 = 0 0 + 17x = -32 + 49 17x = -32 + 49 Combine like terms: -32 + 49 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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