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Simplifying 117 + -2x = 5x + 12 Reorder the terms: 117 + -2x = 12 + 5x Solving 117 + -2x = 12 + 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. 117 + -2x + -5x = 12 + 5x + -5x Combine like terms: -2x + -5x = -7x 117 + -7x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 117 + -7x = 12 + 0 117 + -7x = 12 Add '-117' to each side of the equation. 117 + -117 + -7x = 12 + -117 Combine like terms: 117 + -117 = 0 0 + -7x = 12 + -117 -7x = 12 + -117 Combine like terms: 12 + -117 = -105 -7x = -105 Divide each side by '-7'. x = 15 Simplifying x = 15
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