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Simplifying -2(7x + -8) = -22 + 5x Reorder the terms: -2(-8 + 7x) = -22 + 5x (-8 * -2 + 7x * -2) = -22 + 5x (16 + -14x) = -22 + 5x Solving 16 + -14x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + -14x + -5x = -22 + 5x + -5x Combine like terms: -14x + -5x = -19x 16 + -19x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -19x = -22 + 0 16 + -19x = -22 Add '-16' to each side of the equation. 16 + -16 + -19x = -22 + -16 Combine like terms: 16 + -16 = 0 0 + -19x = -22 + -16 -19x = -22 + -16 Combine like terms: -22 + -16 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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