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Simplifying -3x + 52 = -32 + 4x Reorder the terms: 52 + -3x = -32 + 4x Solving 52 + -3x = -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. 52 + -3x + -4x = -32 + 4x + -4x Combine like terms: -3x + -4x = -7x 52 + -7x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 52 + -7x = -32 + 0 52 + -7x = -32 Add '-52' to each side of the equation. 52 + -52 + -7x = -32 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = -32 + -52 -7x = -32 + -52 Combine like terms: -32 + -52 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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