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Simplifying 7(x + 6) = 3(x + 26) Reorder the terms: 7(6 + x) = 3(x + 26) (6 * 7 + x * 7) = 3(x + 26) (42 + 7x) = 3(x + 26) Reorder the terms: 42 + 7x = 3(26 + x) 42 + 7x = (26 * 3 + x * 3) 42 + 7x = (78 + 3x) Solving 42 + 7x = 78 + 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 = 78 + 3x + -3x Combine like terms: 7x + -3x = 4x 42 + 4x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 4x = 78 + 0 42 + 4x = 78 Add '-42' to each side of the equation. 42 + -42 + 4x = 78 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 78 + -42 4x = 78 + -42 Combine like terms: 78 + -42 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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