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Simplifying 2(5x + 4) = 3x + 22 Reorder the terms: 2(4 + 5x) = 3x + 22 (4 * 2 + 5x * 2) = 3x + 22 (8 + 10x) = 3x + 22 Reorder the terms: 8 + 10x = 22 + 3x Solving 8 + 10x = 22 + 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. 8 + 10x + -3x = 22 + 3x + -3x Combine like terms: 10x + -3x = 7x 8 + 7x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 7x = 22 + 0 8 + 7x = 22 Add '-8' to each side of the equation. 8 + -8 + 7x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 22 + -8 7x = 22 + -8 Combine like terms: 22 + -8 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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