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Simplifying 4(2x + 4) = 5x + 22 Reorder the terms: 4(4 + 2x) = 5x + 22 (4 * 4 + 2x * 4) = 5x + 22 (16 + 8x) = 5x + 22 Reorder the terms: 16 + 8x = 22 + 5x Solving 16 + 8x = 22 + 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. 16 + 8x + -5x = 22 + 5x + -5x Combine like terms: 8x + -5x = 3x 16 + 3x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 3x = 22 + 0 16 + 3x = 22 Add '-16' to each side of the equation. 16 + -16 + 3x = 22 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 22 + -16 3x = 22 + -16 Combine like terms: 22 + -16 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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