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Simplifying 10x + -117 = 5x + -7 Reorder the terms: -117 + 10x = 5x + -7 Reorder the terms: -117 + 10x = -7 + 5x Solving -117 + 10x = -7 + 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. -117 + 10x + -5x = -7 + 5x + -5x Combine like terms: 10x + -5x = 5x -117 + 5x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -117 + 5x = -7 + 0 -117 + 5x = -7 Add '117' to each side of the equation. -117 + 117 + 5x = -7 + 117 Combine like terms: -117 + 117 = 0 0 + 5x = -7 + 117 5x = -7 + 117 Combine like terms: -7 + 117 = 110 5x = 110 Divide each side by '5'. x = 22 Simplifying x = 22
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