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Simplifying -7(-2x + -7) + 8x = -31 + 2x Reorder the terms: -7(-7 + -2x) + 8x = -31 + 2x (-7 * -7 + -2x * -7) + 8x = -31 + 2x (49 + 14x) + 8x = -31 + 2x Combine like terms: 14x + 8x = 22x 49 + 22x = -31 + 2x Solving 49 + 22x = -31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49 + 22x + -2x = -31 + 2x + -2x Combine like terms: 22x + -2x = 20x 49 + 20x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 20x = -31 + 0 49 + 20x = -31 Add '-49' to each side of the equation. 49 + -49 + 20x = -31 + -49 Combine like terms: 49 + -49 = 0 0 + 20x = -31 + -49 20x = -31 + -49 Combine like terms: -31 + -49 = -80 20x = -80 Divide each side by '20'. x = -4 Simplifying x = -4
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