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Simplifying 3x + 5 = 12x + 17 Reorder the terms: 5 + 3x = 12x + 17 Reorder the terms: 5 + 3x = 17 + 12x Solving 5 + 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. 5 + 3x + -12x = 17 + 12x + -12x Combine like terms: 3x + -12x = -9x 5 + -9x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -9x = 17 + 0 5 + -9x = 17 Add '-5' to each side of the equation. 5 + -5 + -9x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 17 + -5 -9x = 17 + -5 Combine like terms: 17 + -5 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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