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Simplifying -2(3x + 11) = 8(x + 6) Reorder the terms: -2(11 + 3x) = 8(x + 6) (11 * -2 + 3x * -2) = 8(x + 6) (-22 + -6x) = 8(x + 6) Reorder the terms: -22 + -6x = 8(6 + x) -22 + -6x = (6 * 8 + x * 8) -22 + -6x = (48 + 8x) Solving -22 + -6x = 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. -22 + -6x + -8x = 48 + 8x + -8x Combine like terms: -6x + -8x = -14x -22 + -14x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + -14x = 48 + 0 -22 + -14x = 48 Add '22' to each side of the equation. -22 + 22 + -14x = 48 + 22 Combine like terms: -22 + 22 = 0 0 + -14x = 48 + 22 -14x = 48 + 22 Combine like terms: 48 + 22 = 70 -14x = 70 Divide each side by '-14'. x = -5 Simplifying x = -5
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