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Simplifying -7(x + 4) + 1 = -5(x + 7) Reorder the terms: -7(4 + x) + 1 = -5(x + 7) (4 * -7 + x * -7) + 1 = -5(x + 7) (-28 + -7x) + 1 = -5(x + 7) Reorder the terms: -28 + 1 + -7x = -5(x + 7) Combine like terms: -28 + 1 = -27 -27 + -7x = -5(x + 7) Reorder the terms: -27 + -7x = -5(7 + x) -27 + -7x = (7 * -5 + x * -5) -27 + -7x = (-35 + -5x) Solving -27 + -7x = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -27 + -7x + 5x = -35 + -5x + 5x Combine like terms: -7x + 5x = -2x -27 + -2x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + -2x = -35 + 0 -27 + -2x = -35 Add '27' to each side of the equation. -27 + 27 + -2x = -35 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -35 + 27 -2x = -35 + 27 Combine like terms: -35 + 27 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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