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Simplifying 5x + -39 = 12x + 52 Reorder the terms: -39 + 5x = 12x + 52 Reorder the terms: -39 + 5x = 52 + 12x Solving -39 + 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. -39 + 5x + -12x = 52 + 12x + -12x Combine like terms: 5x + -12x = -7x -39 + -7x = 52 + 12x + -12x Combine like terms: 12x + -12x = 0 -39 + -7x = 52 + 0 -39 + -7x = 52 Add '39' to each side of the equation. -39 + 39 + -7x = 52 + 39 Combine like terms: -39 + 39 = 0 0 + -7x = 52 + 39 -7x = 52 + 39 Combine like terms: 52 + 39 = 91 -7x = 91 Divide each side by '-7'. x = -13 Simplifying x = -13
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