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Simplifying -117 + 5x = -7x + 135 Reorder the terms: -117 + 5x = 135 + -7x Solving -117 + 5x = 135 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -117 + 5x + 7x = 135 + -7x + 7x Combine like terms: 5x + 7x = 12x -117 + 12x = 135 + -7x + 7x Combine like terms: -7x + 7x = 0 -117 + 12x = 135 + 0 -117 + 12x = 135 Add '117' to each side of the equation. -117 + 117 + 12x = 135 + 117 Combine like terms: -117 + 117 = 0 0 + 12x = 135 + 117 12x = 135 + 117 Combine like terms: 135 + 117 = 252 12x = 252 Divide each side by '12'. x = 21 Simplifying x = 21
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