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Simplifying 6x + -32 = 52 + 4x Reorder the terms: -32 + 6x = 52 + 4x Solving -32 + 6x = 52 + 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. -32 + 6x + -4x = 52 + 4x + -4x Combine like terms: 6x + -4x = 2x -32 + 2x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 2x = 52 + 0 -32 + 2x = 52 Add '32' to each side of the equation. -32 + 32 + 2x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 52 + 32 2x = 52 + 32 Combine like terms: 52 + 32 = 84 2x = 84 Divide each side by '2'. x = 42 Simplifying x = 42
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