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Simplifying 4x + 12 = 9x + 22 Reorder the terms: 12 + 4x = 9x + 22 Reorder the terms: 12 + 4x = 22 + 9x Solving 12 + 4x = 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. 12 + 4x + -9x = 22 + 9x + -9x Combine like terms: 4x + -9x = -5x 12 + -5x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -5x = 22 + 0 12 + -5x = 22 Add '-12' to each side of the equation. 12 + -12 + -5x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 22 + -12 -5x = 22 + -12 Combine like terms: 22 + -12 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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