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Simplifying 7(x + 6) = 3(x + 22) Reorder the terms: 7(6 + x) = 3(x + 22) (6 * 7 + x * 7) = 3(x + 22) (42 + 7x) = 3(x + 22) Reorder the terms: 42 + 7x = 3(22 + x) 42 + 7x = (22 * 3 + x * 3) 42 + 7x = (66 + 3x) Solving 42 + 7x = 66 + 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. 42 + 7x + -3x = 66 + 3x + -3x Combine like terms: 7x + -3x = 4x 42 + 4x = 66 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 4x = 66 + 0 42 + 4x = 66 Add '-42' to each side of the equation. 42 + -42 + 4x = 66 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 66 + -42 4x = 66 + -42 Combine like terms: 66 + -42 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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