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Simplifying 117 + -5x = 3x + 21 Reorder the terms: 117 + -5x = 21 + 3x Solving 117 + -5x = 21 + 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 = 21 + 3x + -3x Combine like terms: -5x + -3x = -8x 117 + -8x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 117 + -8x = 21 + 0 117 + -8x = 21 Add '-117' to each side of the equation. 117 + -117 + -8x = 21 + -117 Combine like terms: 117 + -117 = 0 0 + -8x = 21 + -117 -8x = 21 + -117 Combine like terms: 21 + -117 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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