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Simplifying -25 + x = -2x + 7(1 + 5x) -25 + x = -2x + (1 * 7 + 5x * 7) -25 + x = -2x + (7 + 35x) Reorder the terms: -25 + x = 7 + -2x + 35x Combine like terms: -2x + 35x = 33x -25 + x = 7 + 33x Solving -25 + x = 7 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -25 + x + -33x = 7 + 33x + -33x Combine like terms: x + -33x = -32x -25 + -32x = 7 + 33x + -33x Combine like terms: 33x + -33x = 0 -25 + -32x = 7 + 0 -25 + -32x = 7 Add '25' to each side of the equation. -25 + 25 + -32x = 7 + 25 Combine like terms: -25 + 25 = 0 0 + -32x = 7 + 25 -32x = 7 + 25 Combine like terms: 7 + 25 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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