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Simplifying 3x + 22 = -5(x + 2) Reorder the terms: 22 + 3x = -5(x + 2) Reorder the terms: 22 + 3x = -5(2 + x) 22 + 3x = (2 * -5 + x * -5) 22 + 3x = (-10 + -5x) Solving 22 + 3x = -10 + -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 + 3x + 5x = -10 + -5x + 5x Combine like terms: 3x + 5x = 8x 22 + 8x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 22 + 8x = -10 + 0 22 + 8x = -10 Add '-22' to each side of the equation. 22 + -22 + 8x = -10 + -22 Combine like terms: 22 + -22 = 0 0 + 8x = -10 + -22 8x = -10 + -22 Combine like terms: -10 + -22 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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