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Simplifying -5(7x + -5) + x = 7(-6x + -1) Reorder the terms: -5(-5 + 7x) + x = 7(-6x + -1) (-5 * -5 + 7x * -5) + x = 7(-6x + -1) (25 + -35x) + x = 7(-6x + -1) Combine like terms: -35x + x = -34x 25 + -34x = 7(-6x + -1) Reorder the terms: 25 + -34x = 7(-1 + -6x) 25 + -34x = (-1 * 7 + -6x * 7) 25 + -34x = (-7 + -42x) Solving 25 + -34x = -7 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 25 + -34x + 42x = -7 + -42x + 42x Combine like terms: -34x + 42x = 8x 25 + 8x = -7 + -42x + 42x Combine like terms: -42x + 42x = 0 25 + 8x = -7 + 0 25 + 8x = -7 Add '-25' to each side of the equation. 25 + -25 + 8x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + 8x = -7 + -25 8x = -7 + -25 Combine like terms: -7 + -25 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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