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Simplifying -4x + -32 = 52 + 3x Reorder the terms: -32 + -4x = 52 + 3x Solving -32 + -4x = 52 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + -4x + -3x = 52 + 3x + -3x Combine like terms: -4x + -3x = -7x -32 + -7x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -7x = 52 + 0 -32 + -7x = 52 Add '32' to each side of the equation. -32 + 32 + -7x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 52 + 32 -7x = 52 + 32 Combine like terms: 52 + 32 = 84 -7x = 84 Divide each side by '-7'. x = -12 Simplifying x = -12
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