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Simplifying -6(2x + 7) = 22 + 4x Reorder the terms: -6(7 + 2x) = 22 + 4x (7 * -6 + 2x * -6) = 22 + 4x (-42 + -12x) = 22 + 4x Solving -42 + -12x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + -12x + -4x = 22 + 4x + -4x Combine like terms: -12x + -4x = -16x -42 + -16x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -16x = 22 + 0 -42 + -16x = 22 Add '42' to each side of the equation. -42 + 42 + -16x = 22 + 42 Combine like terms: -42 + 42 = 0 0 + -16x = 22 + 42 -16x = 22 + 42 Combine like terms: 22 + 42 = 64 -16x = 64 Divide each side by '-16'. x = -4 Simplifying x = -4
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