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Simplifying 25x + -10 + -16X = 3(3X + -4) + 2 Reorder the terms: -10 + -16X + 25x = 3(3X + -4) + 2 Reorder the terms: -10 + -16X + 25x = 3(-4 + 3X) + 2 -10 + -16X + 25x = (-4 * 3 + 3X * 3) + 2 -10 + -16X + 25x = (-12 + 9X) + 2 Reorder the terms: -10 + -16X + 25x = -12 + 2 + 9X Combine like terms: -12 + 2 = -10 -10 + -16X + 25x = -10 + 9X Add '10' to each side of the equation. -10 + -16X + 10 + 25x = -10 + 10 + 9X Reorder the terms: -10 + 10 + -16X + 25x = -10 + 10 + 9X Combine like terms: -10 + 10 = 0 0 + -16X + 25x = -10 + 10 + 9X -16X + 25x = -10 + 10 + 9X Combine like terms: -10 + 10 = 0 -16X + 25x = 0 + 9X -16X + 25x = 9X Solving -16X + 25x = 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. -16X + -9X + 25x = 9X + -9X Combine like terms: -16X + -9X = -25X -25X + 25x = 9X + -9X Combine like terms: 9X + -9X = 0 -25X + 25x = 0 Add '-25x' to each side of the equation. -25X + 25x + -25x = 0 + -25x Combine like terms: 25x + -25x = 0 -25X + 0 = 0 + -25x -25X = 0 + -25x Remove the zero: -25X = -25x Divide each side by '-25'. X = x Simplifying X = x
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