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Simplifying 4x + 12 = 8x + -32 Reorder the terms: 12 + 4x = 8x + -32 Reorder the terms: 12 + 4x = -32 + 8x Solving 12 + 4x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 4x + -8x = -32 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = -32 + 0 12 + -4x = -32 Add '-12' to each side of the equation. 12 + -12 + -4x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -32 + -12 -4x = -32 + -12 Combine like terms: -32 + -12 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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