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Simplifying -5(-7x + -7) + -10 = -2x + -345 Reorder the terms: -5(-7 + -7x) + -10 = -2x + -345 (-7 * -5 + -7x * -5) + -10 = -2x + -345 (35 + 35x) + -10 = -2x + -345 Reorder the terms: 35 + -10 + 35x = -2x + -345 Combine like terms: 35 + -10 = 25 25 + 35x = -2x + -345 Reorder the terms: 25 + 35x = -345 + -2x Solving 25 + 35x = -345 + -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. 25 + 35x + 2x = -345 + -2x + 2x Combine like terms: 35x + 2x = 37x 25 + 37x = -345 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + 37x = -345 + 0 25 + 37x = -345 Add '-25' to each side of the equation. 25 + -25 + 37x = -345 + -25 Combine like terms: 25 + -25 = 0 0 + 37x = -345 + -25 37x = -345 + -25 Combine like terms: -345 + -25 = -370 37x = -370 Divide each side by '37'. x = -10 Simplifying x = -10
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