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Simplifying 6x + 8 = -2x + 32 Reorder the terms: 8 + 6x = -2x + 32 Reorder the terms: 8 + 6x = 32 + -2x Solving 8 + 6x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 6x + 2x = 32 + -2x + 2x Combine like terms: 6x + 2x = 8x 8 + 8x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 8x = 32 + 0 8 + 8x = 32 Add '-8' to each side of the equation. 8 + -8 + 8x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 32 + -8 8x = 32 + -8 Combine like terms: 32 + -8 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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