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Simplifying 5x + 32 = 12x + -52 Reorder the terms: 32 + 5x = 12x + -52 Reorder the terms: 32 + 5x = -52 + 12x Solving 32 + 5x = -52 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + 5x + -12x = -52 + 12x + -12x Combine like terms: 5x + -12x = -7x 32 + -7x = -52 + 12x + -12x Combine like terms: 12x + -12x = 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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