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Simplifying 117 + -2x = 6x + 21 Reorder the terms: 117 + -2x = 21 + 6x Solving 117 + -2x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 117 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x 117 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 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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