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Simplifying 7(x + -7) + 22 = 5(x + -5) Reorder the terms: 7(-7 + x) + 22 = 5(x + -5) (-7 * 7 + x * 7) + 22 = 5(x + -5) (-49 + 7x) + 22 = 5(x + -5) Reorder the terms: -49 + 22 + 7x = 5(x + -5) Combine like terms: -49 + 22 = -27 -27 + 7x = 5(x + -5) Reorder the terms: -27 + 7x = 5(-5 + x) -27 + 7x = (-5 * 5 + x * 5) -27 + 7x = (-25 + 5x) Solving -27 + 7x = -25 + 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 = -25 + 5x + -5x Combine like terms: 7x + -5x = 2x -27 + 2x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 2x = -25 + 0 -27 + 2x = -25 Add '27' to each side of the equation. -27 + 27 + 2x = -25 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -25 + 27 2x = -25 + 27 Combine like terms: -25 + 27 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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