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Simplifying x + 12 = -4x + 32 Reorder the terms: 12 + x = -4x + 32 Reorder the terms: 12 + x = 32 + -4x Solving 12 + x = 32 + -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. 12 + x + 4x = 32 + -4x + 4x Combine like terms: x + 4x = 5x 12 + 5x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 5x = 32 + 0 12 + 5x = 32 Add '-12' to each side of the equation. 12 + -12 + 5x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 32 + -12 5x = 32 + -12 Combine like terms: 32 + -12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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