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Simplifying 4x + 52 = 2x + -12 Reorder the terms: 52 + 4x = 2x + -12 Reorder the terms: 52 + 4x = -12 + 2x Solving 52 + 4x = -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. 52 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 52 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 52 + 2x = -12 + 0 52 + 2x = -12 Add '-52' to each side of the equation. 52 + -52 + 2x = -12 + -52 Combine like terms: 52 + -52 = 0 0 + 2x = -12 + -52 2x = -12 + -52 Combine like terms: -12 + -52 = -64 2x = -64 Divide each side by '2'. x = -32 Simplifying x = -32
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