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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 = 12x 12 + 12x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 12x = 32 + 0 12 + 12x = 32 Add '-12' to each side of the equation. 12 + -12 + 12x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 32 + -12 12x = 32 + -12 Combine like terms: 32 + -12 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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