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Simplifying 11(x + 3) = 3(x + 26) Reorder the terms: 11(3 + x) = 3(x + 26) (3 * 11 + x * 11) = 3(x + 26) (33 + 11x) = 3(x + 26) Reorder the terms: 33 + 11x = 3(26 + x) 33 + 11x = (26 * 3 + x * 3) 33 + 11x = (78 + 3x) Solving 33 + 11x = 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. 33 + 11x + -3x = 78 + 3x + -3x Combine like terms: 11x + -3x = 8x 33 + 8x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 33 + 8x = 78 + 0 33 + 8x = 78 Add '-33' to each side of the equation. 33 + -33 + 8x = 78 + -33 Combine like terms: 33 + -33 = 0 0 + 8x = 78 + -33 8x = 78 + -33 Combine like terms: 78 + -33 = 45 8x = 45 Divide each side by '8'. x = 5.625 Simplifying x = 5.625
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