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Simplifying 8x + 22 = -5(x + -7) Reorder the terms: 22 + 8x = -5(x + -7) Reorder the terms: 22 + 8x = -5(-7 + x) 22 + 8x = (-7 * -5 + x * -5) 22 + 8x = (35 + -5x) Solving 22 + 8x = 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. 22 + 8x + 5x = 35 + -5x + 5x Combine like terms: 8x + 5x = 13x 22 + 13x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 22 + 13x = 35 + 0 22 + 13x = 35 Add '-22' to each side of the equation. 22 + -22 + 13x = 35 + -22 Combine like terms: 22 + -22 = 0 0 + 13x = 35 + -22 13x = 35 + -22 Combine like terms: 35 + -22 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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