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Simplifying 5x + -117 = 51 + -3x Reorder the terms: -117 + 5x = 51 + -3x Solving -117 + 5x = 51 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -117 + 5x + 3x = 51 + -3x + 3x Combine like terms: 5x + 3x = 8x -117 + 8x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 -117 + 8x = 51 + 0 -117 + 8x = 51 Add '117' to each side of the equation. -117 + 117 + 8x = 51 + 117 Combine like terms: -117 + 117 = 0 0 + 8x = 51 + 117 8x = 51 + 117 Combine like terms: 51 + 117 = 168 8x = 168 Divide each side by '8'. x = 21 Simplifying x = 21
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