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Simplifying 7(x + 11) = 5(x + 3) Reorder the terms: 7(11 + x) = 5(x + 3) (11 * 7 + x * 7) = 5(x + 3) (77 + 7x) = 5(x + 3) Reorder the terms: 77 + 7x = 5(3 + x) 77 + 7x = (3 * 5 + x * 5) 77 + 7x = (15 + 5x) Solving 77 + 7x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 77 + 7x + -5x = 15 + 5x + -5x Combine like terms: 7x + -5x = 2x 77 + 2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 77 + 2x = 15 + 0 77 + 2x = 15 Add '-77' to each side of the equation. 77 + -77 + 2x = 15 + -77 Combine like terms: 77 + -77 = 0 0 + 2x = 15 + -77 2x = 15 + -77 Combine like terms: 15 + -77 = -62 2x = -62 Divide each side by '2'. x = -31 Simplifying x = -31
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