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Simplifying 7x + 22 = -8(x + 1) Reorder the terms: 22 + 7x = -8(x + 1) Reorder the terms: 22 + 7x = -8(1 + x) 22 + 7x = (1 * -8 + x * -8) 22 + 7x = (-8 + -8x) Solving 22 + 7x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 22 + 7x + 8x = -8 + -8x + 8x Combine like terms: 7x + 8x = 15x 22 + 15x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 22 + 15x = -8 + 0 22 + 15x = -8 Add '-22' to each side of the equation. 22 + -22 + 15x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 15x = -8 + -22 15x = -8 + -22 Combine like terms: -8 + -22 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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