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Simplifying 22(x + 7) = 20(x + 8) Reorder the terms: 22(7 + x) = 20(x + 8) (7 * 22 + x * 22) = 20(x + 8) (154 + 22x) = 20(x + 8) Reorder the terms: 154 + 22x = 20(8 + x) 154 + 22x = (8 * 20 + x * 20) 154 + 22x = (160 + 20x) Solving 154 + 22x = 160 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 154 + 22x + -20x = 160 + 20x + -20x Combine like terms: 22x + -20x = 2x 154 + 2x = 160 + 20x + -20x Combine like terms: 20x + -20x = 0 154 + 2x = 160 + 0 154 + 2x = 160 Add '-154' to each side of the equation. 154 + -154 + 2x = 160 + -154 Combine like terms: 154 + -154 = 0 0 + 2x = 160 + -154 2x = 160 + -154 Combine like terms: 160 + -154 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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