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Simplifying 83 + 7x = 10x + 120 Reorder the terms: 83 + 7x = 120 + 10x Solving 83 + 7x = 120 + 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. 83 + 7x + -10x = 120 + 10x + -10x Combine like terms: 7x + -10x = -3x 83 + -3x = 120 + 10x + -10x Combine like terms: 10x + -10x = 0 83 + -3x = 120 + 0 83 + -3x = 120 Add '-83' to each side of the equation. 83 + -83 + -3x = 120 + -83 Combine like terms: 83 + -83 = 0 0 + -3x = 120 + -83 -3x = 120 + -83 Combine like terms: 120 + -83 = 37 -3x = 37 Divide each side by '-3'. x = -12.33333333 Simplifying x = -12.33333333
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