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Simplifying -12x + -52 = -5x + 102 Reorder the terms: -52 + -12x = -5x + 102 Reorder the terms: -52 + -12x = 102 + -5x Solving -52 + -12x = 102 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -52 + -12x + 5x = 102 + -5x + 5x Combine like terms: -12x + 5x = -7x -52 + -7x = 102 + -5x + 5x Combine like terms: -5x + 5x = 0 -52 + -7x = 102 + 0 -52 + -7x = 102 Add '52' to each side of the equation. -52 + 52 + -7x = 102 + 52 Combine like terms: -52 + 52 = 0 0 + -7x = 102 + 52 -7x = 102 + 52 Combine like terms: 102 + 52 = 154 -7x = 154 Divide each side by '-7'. x = -22 Simplifying x = -22
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