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Simplifying -7(8x + 7) = 5 + -2x Reorder the terms: -7(7 + 8x) = 5 + -2x (7 * -7 + 8x * -7) = 5 + -2x (-49 + -56x) = 5 + -2x Solving -49 + -56x = 5 + -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 + -56x + 2x = 5 + -2x + 2x Combine like terms: -56x + 2x = -54x -49 + -54x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -49 + -54x = 5 + 0 -49 + -54x = 5 Add '49' to each side of the equation. -49 + 49 + -54x = 5 + 49 Combine like terms: -49 + 49 = 0 0 + -54x = 5 + 49 -54x = 5 + 49 Combine like terms: 5 + 49 = 54 -54x = 54 Divide each side by '-54'. x = -1 Simplifying x = -1
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