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Simplifying -6(3 + -4x) + -2x = 8(x + 11) (3 * -6 + -4x * -6) + -2x = 8(x + 11) (-18 + 24x) + -2x = 8(x + 11) Combine like terms: 24x + -2x = 22x -18 + 22x = 8(x + 11) Reorder the terms: -18 + 22x = 8(11 + x) -18 + 22x = (11 * 8 + x * 8) -18 + 22x = (88 + 8x) Solving -18 + 22x = 88 + 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. -18 + 22x + -8x = 88 + 8x + -8x Combine like terms: 22x + -8x = 14x -18 + 14x = 88 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 14x = 88 + 0 -18 + 14x = 88 Add '18' to each side of the equation. -18 + 18 + 14x = 88 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 88 + 18 14x = 88 + 18 Combine like terms: 88 + 18 = 106 14x = 106 Divide each side by '14'. x = 7.571428571 Simplifying x = 7.571428571
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