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Simplifying 5(x + -2) = 9x + 22 Reorder the terms: 5(-2 + x) = 9x + 22 (-2 * 5 + x * 5) = 9x + 22 (-10 + 5x) = 9x + 22 Reorder the terms: -10 + 5x = 22 + 9x Solving -10 + 5x = 22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 5x + -9x = 22 + 9x + -9x Combine like terms: 5x + -9x = -4x -10 + -4x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -4x = 22 + 0 -10 + -4x = 22 Add '10' to each side of the equation. -10 + 10 + -4x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 22 + 10 -4x = 22 + 10 Combine like terms: 22 + 10 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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