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Simplifying 25(x + -9) = 16(x + 9) Reorder the terms: 25(-9 + x) = 16(x + 9) (-9 * 25 + x * 25) = 16(x + 9) (-225 + 25x) = 16(x + 9) Reorder the terms: -225 + 25x = 16(9 + x) -225 + 25x = (9 * 16 + x * 16) -225 + 25x = (144 + 16x) Solving -225 + 25x = 144 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -225 + 25x + -16x = 144 + 16x + -16x Combine like terms: 25x + -16x = 9x -225 + 9x = 144 + 16x + -16x Combine like terms: 16x + -16x = 0 -225 + 9x = 144 + 0 -225 + 9x = 144 Add '225' to each side of the equation. -225 + 225 + 9x = 144 + 225 Combine like terms: -225 + 225 = 0 0 + 9x = 144 + 225 9x = 144 + 225 Combine like terms: 144 + 225 = 369 9x = 369 Divide each side by '9'. x = 41 Simplifying x = 41
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