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Simplifying 3x + 116 = 12x + 17 Reorder the terms: 116 + 3x = 12x + 17 Reorder the terms: 116 + 3x = 17 + 12x Solving 116 + 3x = 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. 116 + 3x + -12x = 17 + 12x + -12x Combine like terms: 3x + -12x = -9x 116 + -9x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 116 + -9x = 17 + 0 116 + -9x = 17 Add '-116' to each side of the equation. 116 + -116 + -9x = 17 + -116 Combine like terms: 116 + -116 = 0 0 + -9x = 17 + -116 -9x = 17 + -116 Combine like terms: 17 + -116 = -99 -9x = -99 Divide each side by '-9'. x = 11 Simplifying x = 11
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