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Simplifying 2(4x + 5) = -22 + 4x Reorder the terms: 2(5 + 4x) = -22 + 4x (5 * 2 + 4x * 2) = -22 + 4x (10 + 8x) = -22 + 4x Solving 10 + 8x = -22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 8x + -4x = -22 + 4x + -4x Combine like terms: 8x + -4x = 4x 10 + 4x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 4x = -22 + 0 10 + 4x = -22 Add '-10' to each side of the equation. 10 + -10 + 4x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -22 + -10 4x = -22 + -10 Combine like terms: -22 + -10 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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