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Simplifying 2x + 8 = -4x + 32 Reorder the terms: 8 + 2x = -4x + 32 Reorder the terms: 8 + 2x = 32 + -4x Solving 8 + 2x = 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. 8 + 2x + 4x = 32 + -4x + 4x Combine like terms: 2x + 4x = 6x 8 + 6x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 6x = 32 + 0 8 + 6x = 32 Add '-8' to each side of the equation. 8 + -8 + 6x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 32 + -8 6x = 32 + -8 Combine like terms: 32 + -8 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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