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Simplifying 6x + 32 = 2x + 12 Reorder the terms: 32 + 6x = 2x + 12 Reorder the terms: 32 + 6x = 12 + 2x Solving 32 + 6x = 12 + 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. 32 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x 32 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 4x = 12 + 0 32 + 4x = 12 Add '-32' to each side of the equation. 32 + -32 + 4x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 12 + -32 4x = 12 + -32 Combine like terms: 12 + -32 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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