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Simplifying 10x + 1 = 12x + 17 Reorder the terms: 1 + 10x = 12x + 17 Reorder the terms: 1 + 10x = 17 + 12x Solving 1 + 10x = 17 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 10x + -12x = 17 + 12x + -12x Combine like terms: 10x + -12x = -2x 1 + -2x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -2x = 17 + 0 1 + -2x = 17 Add '-1' to each side of the equation. 1 + -1 + -2x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 17 + -1 -2x = 17 + -1 Combine like terms: 17 + -1 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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