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Simplifying 7(x + -1) = -2x + 92 Reorder the terms: 7(-1 + x) = -2x + 92 (-1 * 7 + x * 7) = -2x + 92 (-7 + 7x) = -2x + 92 Reorder the terms: -7 + 7x = 92 + -2x Solving -7 + 7x = 92 + -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. -7 + 7x + 2x = 92 + -2x + 2x Combine like terms: 7x + 2x = 9x -7 + 9x = 92 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 9x = 92 + 0 -7 + 9x = 92 Add '7' to each side of the equation. -7 + 7 + 9x = 92 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 92 + 7 9x = 92 + 7 Combine like terms: 92 + 7 = 99 9x = 99 Divide each side by '9'. x = 11 Simplifying x = 11
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