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Simplifying -7x + -162 = 5x + 102 Reorder the terms: -162 + -7x = 5x + 102 Reorder the terms: -162 + -7x = 102 + 5x Solving -162 + -7x = 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. -162 + -7x + -5x = 102 + 5x + -5x Combine like terms: -7x + -5x = -12x -162 + -12x = 102 + 5x + -5x Combine like terms: 5x + -5x = 0 -162 + -12x = 102 + 0 -162 + -12x = 102 Add '162' to each side of the equation. -162 + 162 + -12x = 102 + 162 Combine like terms: -162 + 162 = 0 0 + -12x = 102 + 162 -12x = 102 + 162 Combine like terms: 102 + 162 = 264 -12x = 264 Divide each side by '-12'. x = -22 Simplifying x = -22
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