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Simplifying 83 + 2x + 14 = 10x + 1 Reorder the terms: 83 + 14 + 2x = 10x + 1 Combine like terms: 83 + 14 = 97 97 + 2x = 10x + 1 Reorder the terms: 97 + 2x = 1 + 10x Solving 97 + 2x = 1 + 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. 97 + 2x + -10x = 1 + 10x + -10x Combine like terms: 2x + -10x = -8x 97 + -8x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 97 + -8x = 1 + 0 97 + -8x = 1 Add '-97' to each side of the equation. 97 + -97 + -8x = 1 + -97 Combine like terms: 97 + -97 = 0 0 + -8x = 1 + -97 -8x = 1 + -97 Combine like terms: 1 + -97 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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