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Simplifying 92 = 1 + 7(-5x + -7) Reorder the terms: 92 = 1 + 7(-7 + -5x) 92 = 1 + (-7 * 7 + -5x * 7) 92 = 1 + (-49 + -35x) Combine like terms: 1 + -49 = -48 92 = -48 + -35x Solving 92 = -48 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 92 + 35x = -48 + -35x + 35x Combine like terms: -35x + 35x = 0 92 + 35x = -48 + 0 92 + 35x = -48 Add '-92' to each side of the equation. 92 + -92 + 35x = -48 + -92 Combine like terms: 92 + -92 = 0 0 + 35x = -48 + -92 35x = -48 + -92 Combine like terms: -48 + -92 = -140 35x = -140 Divide each side by '35'. x = -4 Simplifying x = -4
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