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Simplifying -5x + 7(1 + 6x) = -32 + -2x -5x + (1 * 7 + 6x * 7) = -32 + -2x -5x + (7 + 42x) = -32 + -2x Reorder the terms: 7 + -5x + 42x = -32 + -2x Combine like terms: -5x + 42x = 37x 7 + 37x = -32 + -2x Solving 7 + 37x = -32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 37x + 2x = -32 + -2x + 2x Combine like terms: 37x + 2x = 39x 7 + 39x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 39x = -32 + 0 7 + 39x = -32 Add '-7' to each side of the equation. 7 + -7 + 39x = -32 + -7 Combine like terms: 7 + -7 = 0 0 + 39x = -32 + -7 39x = -32 + -7 Combine like terms: -32 + -7 = -39 39x = -39 Divide each side by '39'. x = -1 Simplifying x = -1
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