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Simplifying 9(x + -1) = 7x + -1 Reorder the terms: 9(-1 + x) = 7x + -1 (-1 * 9 + x * 9) = 7x + -1 (-9 + 9x) = 7x + -1 Reorder the terms: -9 + 9x = -1 + 7x Solving -9 + 9x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 9x + -7x = -1 + 7x + -7x Combine like terms: 9x + -7x = 2x -9 + 2x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 2x = -1 + 0 -9 + 2x = -1 Add '9' to each side of the equation. -9 + 9 + 2x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -1 + 9 2x = -1 + 9 Combine like terms: -1 + 9 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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