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Simplifying 5x + -3 = 117 + -5x Reorder the terms: -3 + 5x = 117 + -5x Solving -3 + 5x = 117 + -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. -3 + 5x + 5x = 117 + -5x + 5x Combine like terms: 5x + 5x = 10x -3 + 10x = 117 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 10x = 117 + 0 -3 + 10x = 117 Add '3' to each side of the equation. -3 + 3 + 10x = 117 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 117 + 3 10x = 117 + 3 Combine like terms: 117 + 3 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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