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Simplifying 9x + -25 = 2x + -1(9x + 9) Reorder the terms: -25 + 9x = 2x + -1(9x + 9) Reorder the terms: -25 + 9x = 2x + -1(9 + 9x) -25 + 9x = 2x + (9 * -1 + 9x * -1) -25 + 9x = 2x + (-9 + -9x) Reorder the terms: -25 + 9x = -9 + 2x + -9x Combine like terms: 2x + -9x = -7x -25 + 9x = -9 + -7x Solving -25 + 9x = -9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -25 + 9x + 7x = -9 + -7x + 7x Combine like terms: 9x + 7x = 16x -25 + 16x = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 -25 + 16x = -9 + 0 -25 + 16x = -9 Add '25' to each side of the equation. -25 + 25 + 16x = -9 + 25 Combine like terms: -25 + 25 = 0 0 + 16x = -9 + 25 16x = -9 + 25 Combine like terms: -9 + 25 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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