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Simplifying 11(2x + -6) = 8x + -38 Reorder the terms: 11(-6 + 2x) = 8x + -38 (-6 * 11 + 2x * 11) = 8x + -38 (-66 + 22x) = 8x + -38 Reorder the terms: -66 + 22x = -38 + 8x Solving -66 + 22x = -38 + 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. -66 + 22x + -8x = -38 + 8x + -8x Combine like terms: 22x + -8x = 14x -66 + 14x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 -66 + 14x = -38 + 0 -66 + 14x = -38 Add '66' to each side of the equation. -66 + 66 + 14x = -38 + 66 Combine like terms: -66 + 66 = 0 0 + 14x = -38 + 66 14x = -38 + 66 Combine like terms: -38 + 66 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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