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Simplifying 11(x + 3) = 8(x + 6) Reorder the terms: 11(3 + x) = 8(x + 6) (3 * 11 + x * 11) = 8(x + 6) (33 + 11x) = 8(x + 6) Reorder the terms: 33 + 11x = 8(6 + x) 33 + 11x = (6 * 8 + x * 8) 33 + 11x = (48 + 8x) Solving 33 + 11x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 33 + 11x + -8x = 48 + 8x + -8x Combine like terms: 11x + -8x = 3x 33 + 3x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 33 + 3x = 48 + 0 33 + 3x = 48 Add '-33' to each side of the equation. 33 + -33 + 3x = 48 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 48 + -33 3x = 48 + -33 Combine like terms: 48 + -33 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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