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Simplifying 11(x + 2) = 8x + 40 Reorder the terms: 11(2 + x) = 8x + 40 (2 * 11 + x * 11) = 8x + 40 (22 + 11x) = 8x + 40 Reorder the terms: 22 + 11x = 40 + 8x Solving 22 + 11x = 40 + 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. 22 + 11x + -8x = 40 + 8x + -8x Combine like terms: 11x + -8x = 3x 22 + 3x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + 3x = 40 + 0 22 + 3x = 40 Add '-22' to each side of the equation. 22 + -22 + 3x = 40 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 40 + -22 3x = 40 + -22 Combine like terms: 40 + -22 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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