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Simplifying 5(x + -5) + -1(x + 7) + 25(-1y + -1x) = 0 Reorder the terms: 5(-5 + x) + -1(x + 7) + 25(-1y + -1x) = 0 (-5 * 5 + x * 5) + -1(x + 7) + 25(-1y + -1x) = 0 (-25 + 5x) + -1(x + 7) + 25(-1y + -1x) = 0 Reorder the terms: -25 + 5x + -1(7 + x) + 25(-1y + -1x) = 0 -25 + 5x + (7 * -1 + x * -1) + 25(-1y + -1x) = 0 -25 + 5x + (-7 + -1x) + 25(-1y + -1x) = 0 Reorder the terms: -25 + 5x + -7 + -1x + 25(-1x + -1y) = 0 -25 + 5x + -7 + -1x + (-1x * 25 + -1y * 25) = 0 -25 + 5x + -7 + -1x + (-25x + -25y) = 0 Reorder the terms: -25 + -7 + 5x + -1x + -25x + -25y = 0 Combine like terms: -25 + -7 = -32 -32 + 5x + -1x + -25x + -25y = 0 Combine like terms: 5x + -1x = 4x -32 + 4x + -25x + -25y = 0 Combine like terms: 4x + -25x = -21x -32 + -21x + -25y = 0 Solving -32 + -21x + -25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -21x + 32 + -25y = 0 + 32 Reorder the terms: -32 + 32 + -21x + -25y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -21x + -25y = 0 + 32 -21x + -25y = 0 + 32 Combine like terms: 0 + 32 = 32 -21x + -25y = 32 Add '25y' to each side of the equation. -21x + -25y + 25y = 32 + 25y Combine like terms: -25y + 25y = 0 -21x + 0 = 32 + 25y -21x = 32 + 25y Divide each side by '-21'. x = -1.523809524 + -1.19047619y Simplifying x = -1.523809524 + -1.19047619y
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