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Simplifying -2(11 + -7x) = 6(3x + -7) (11 * -2 + -7x * -2) = 6(3x + -7) (-22 + 14x) = 6(3x + -7) Reorder the terms: -22 + 14x = 6(-7 + 3x) -22 + 14x = (-7 * 6 + 3x * 6) -22 + 14x = (-42 + 18x) Solving -22 + 14x = -42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -22 + 14x + -18x = -42 + 18x + -18x Combine like terms: 14x + -18x = -4x -22 + -4x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 -22 + -4x = -42 + 0 -22 + -4x = -42 Add '22' to each side of the equation. -22 + 22 + -4x = -42 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = -42 + 22 -4x = -42 + 22 Combine like terms: -42 + 22 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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