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Simplifying -2x + 7(-2x + -7) = -57 + -8x Reorder the terms: -2x + 7(-7 + -2x) = -57 + -8x -2x + (-7 * 7 + -2x * 7) = -57 + -8x -2x + (-49 + -14x) = -57 + -8x Reorder the terms: -49 + -2x + -14x = -57 + -8x Combine like terms: -2x + -14x = -16x -49 + -16x = -57 + -8x Solving -49 + -16x = -57 + -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. -49 + -16x + 8x = -57 + -8x + 8x Combine like terms: -16x + 8x = -8x -49 + -8x = -57 + -8x + 8x Combine like terms: -8x + 8x = 0 -49 + -8x = -57 + 0 -49 + -8x = -57 Add '49' to each side of the equation. -49 + 49 + -8x = -57 + 49 Combine like terms: -49 + 49 = 0 0 + -8x = -57 + 49 -8x = -57 + 49 Combine like terms: -57 + 49 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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