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Simplifying 117 + -3x = 42x + 17 Reorder the terms: 117 + -3x = 17 + 42x Solving 117 + -3x = 17 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 117 + -3x + -42x = 17 + 42x + -42x Combine like terms: -3x + -42x = -45x 117 + -45x = 17 + 42x + -42x Combine like terms: 42x + -42x = 0 117 + -45x = 17 + 0 117 + -45x = 17 Add '-117' to each side of the equation. 117 + -117 + -45x = 17 + -117 Combine like terms: 117 + -117 = 0 0 + -45x = 17 + -117 -45x = 17 + -117 Combine like terms: 17 + -117 = -100 -45x = -100 Divide each side by '-45'. x = 2.222222222 Simplifying x = 2.222222222
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