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Simplifying 11(8x + -4) = 2(11x + 11) Reorder the terms: 11(-4 + 8x) = 2(11x + 11) (-4 * 11 + 8x * 11) = 2(11x + 11) (-44 + 88x) = 2(11x + 11) Reorder the terms: -44 + 88x = 2(11 + 11x) -44 + 88x = (11 * 2 + 11x * 2) -44 + 88x = (22 + 22x) Solving -44 + 88x = 22 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -44 + 88x + -22x = 22 + 22x + -22x Combine like terms: 88x + -22x = 66x -44 + 66x = 22 + 22x + -22x Combine like terms: 22x + -22x = 0 -44 + 66x = 22 + 0 -44 + 66x = 22 Add '44' to each side of the equation. -44 + 44 + 66x = 22 + 44 Combine like terms: -44 + 44 = 0 0 + 66x = 22 + 44 66x = 22 + 44 Combine like terms: 22 + 44 = 66 66x = 66 Divide each side by '66'. x = 1 Simplifying x = 1
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