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Simplifying 4x + 2 = 9x + 32 Reorder the terms: 2 + 4x = 9x + 32 Reorder the terms: 2 + 4x = 32 + 9x Solving 2 + 4x = 32 + 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. 2 + 4x + -9x = 32 + 9x + -9x Combine like terms: 4x + -9x = -5x 2 + -5x = 32 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -5x = 32 + 0 2 + -5x = 32 Add '-2' to each side of the equation. 2 + -2 + -5x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 32 + -2 -5x = 32 + -2 Combine like terms: 32 + -2 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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