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Simplifying 9(x + -5) = x + 22 Reorder the terms: 9(-5 + x) = x + 22 (-5 * 9 + x * 9) = x + 22 (-45 + 9x) = x + 22 Reorder the terms: -45 + 9x = 22 + x Solving -45 + 9x = 22 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -45 + 9x + -1x = 22 + x + -1x Combine like terms: 9x + -1x = 8x -45 + 8x = 22 + x + -1x Combine like terms: x + -1x = 0 -45 + 8x = 22 + 0 -45 + 8x = 22 Add '45' to each side of the equation. -45 + 45 + 8x = 22 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = 22 + 45 8x = 22 + 45 Combine like terms: 22 + 45 = 67 8x = 67 Divide each side by '8'. x = 8.375 Simplifying x = 8.375
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