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Simplifying -4x + -17 = -5(7 + 5x) + -3 Reorder the terms: -17 + -4x = -5(7 + 5x) + -3 -17 + -4x = (7 * -5 + 5x * -5) + -3 -17 + -4x = (-35 + -25x) + -3 Reorder the terms: -17 + -4x = -35 + -3 + -25x Combine like terms: -35 + -3 = -38 -17 + -4x = -38 + -25x Solving -17 + -4x = -38 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -17 + -4x + 25x = -38 + -25x + 25x Combine like terms: -4x + 25x = 21x -17 + 21x = -38 + -25x + 25x Combine like terms: -25x + 25x = 0 -17 + 21x = -38 + 0 -17 + 21x = -38 Add '17' to each side of the equation. -17 + 17 + 21x = -38 + 17 Combine like terms: -17 + 17 = 0 0 + 21x = -38 + 17 21x = -38 + 17 Combine like terms: -38 + 17 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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