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Simplifying 7(x + 5) = 4(x + 11) Reorder the terms: 7(5 + x) = 4(x + 11) (5 * 7 + x * 7) = 4(x + 11) (35 + 7x) = 4(x + 11) Reorder the terms: 35 + 7x = 4(11 + x) 35 + 7x = (11 * 4 + x * 4) 35 + 7x = (44 + 4x) Solving 35 + 7x = 44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + 7x + -4x = 44 + 4x + -4x Combine like terms: 7x + -4x = 3x 35 + 3x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 3x = 44 + 0 35 + 3x = 44 Add '-35' to each side of the equation. 35 + -35 + 3x = 44 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 44 + -35 3x = 44 + -35 Combine like terms: 44 + -35 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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