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Simplifying 2x + 22 = -3(x + -4) Reorder the terms: 22 + 2x = -3(x + -4) Reorder the terms: 22 + 2x = -3(-4 + x) 22 + 2x = (-4 * -3 + x * -3) 22 + 2x = (12 + -3x) Solving 22 + 2x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 22 + 2x + 3x = 12 + -3x + 3x Combine like terms: 2x + 3x = 5x 22 + 5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 5x = 12 + 0 22 + 5x = 12 Add '-22' to each side of the equation. 22 + -22 + 5x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 12 + -22 5x = 12 + -22 Combine like terms: 12 + -22 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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