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Simplifying 7(x + 11) = 4(x + 38) Reorder the terms: 7(11 + x) = 4(x + 38) (11 * 7 + x * 7) = 4(x + 38) (77 + 7x) = 4(x + 38) Reorder the terms: 77 + 7x = 4(38 + x) 77 + 7x = (38 * 4 + x * 4) 77 + 7x = (152 + 4x) Solving 77 + 7x = 152 + 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. 77 + 7x + -4x = 152 + 4x + -4x Combine like terms: 7x + -4x = 3x 77 + 3x = 152 + 4x + -4x Combine like terms: 4x + -4x = 0 77 + 3x = 152 + 0 77 + 3x = 152 Add '-77' to each side of the equation. 77 + -77 + 3x = 152 + -77 Combine like terms: 77 + -77 = 0 0 + 3x = 152 + -77 3x = 152 + -77 Combine like terms: 152 + -77 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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