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Simplifying 3x + 17 = 11x + 47 Reorder the terms: 17 + 3x = 11x + 47 Reorder the terms: 17 + 3x = 47 + 11x Solving 17 + 3x = 47 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 17 + 3x + -11x = 47 + 11x + -11x Combine like terms: 3x + -11x = -8x 17 + -8x = 47 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + -8x = 47 + 0 17 + -8x = 47 Add '-17' to each side of the equation. 17 + -17 + -8x = 47 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 47 + -17 -8x = 47 + -17 Combine like terms: 47 + -17 = 30 -8x = 30 Divide each side by '-8'. x = -3.75 Simplifying x = -3.75
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