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Simplifying 9(x + -1) = 4x + 31 Reorder the terms: 9(-1 + x) = 4x + 31 (-1 * 9 + x * 9) = 4x + 31 (-9 + 9x) = 4x + 31 Reorder the terms: -9 + 9x = 31 + 4x Solving -9 + 9x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 9x + -4x = 31 + 4x + -4x Combine like terms: 9x + -4x = 5x -9 + 5x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 5x = 31 + 0 -9 + 5x = 31 Add '9' to each side of the equation. -9 + 9 + 5x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 31 + 9 5x = 31 + 9 Combine like terms: 31 + 9 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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