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Simplifying 4x + -32 + -2x + -10 = -52 Reorder the terms: -32 + -10 + 4x + -2x = -52 Combine like terms: -32 + -10 = -42 -42 + 4x + -2x = -52 Combine like terms: 4x + -2x = 2x -42 + 2x = -52 Solving -42 + 2x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 2x = -52 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = -52 + 42 2x = -52 + 42 Combine like terms: -52 + 42 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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