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Simplifying -7(1 + 5x) + x = -1(3x + 7) (1 * -7 + 5x * -7) + x = -1(3x + 7) (-7 + -35x) + x = -1(3x + 7) Combine like terms: -35x + x = -34x -7 + -34x = -1(3x + 7) Reorder the terms: -7 + -34x = -1(7 + 3x) -7 + -34x = (7 * -1 + 3x * -1) -7 + -34x = (-7 + -3x) Add '7' to each side of the equation. -7 + 7 + -34x = -7 + 7 + -3x Combine like terms: -7 + 7 = 0 0 + -34x = -7 + 7 + -3x -34x = -7 + 7 + -3x Combine like terms: -7 + 7 = 0 -34x = 0 + -3x -34x = -3x Solving -34x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -34x + 3x = -3x + 3x Combine like terms: -34x + 3x = -31x -31x = -3x + 3x Combine like terms: -3x + 3x = 0 -31x = 0 Divide each side by '-31'. x = 0 Simplifying x = 0
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