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Simplifying 117 + -6x = 10x + 21 Reorder the terms: 117 + -6x = 21 + 10x Solving 117 + -6x = 21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 117 + -6x + -10x = 21 + 10x + -10x Combine like terms: -6x + -10x = -16x 117 + -16x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 117 + -16x = 21 + 0 117 + -16x = 21 Add '-117' to each side of the equation. 117 + -117 + -16x = 21 + -117 Combine like terms: 117 + -117 = 0 0 + -16x = 21 + -117 -16x = 21 + -117 Combine like terms: 21 + -117 = -96 -16x = -96 Divide each side by '-16'. x = 6 Simplifying x = 6
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