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Simplifying 3x + 17 = 5x + -47 Reorder the terms: 17 + 3x = 5x + -47 Reorder the terms: 17 + 3x = -47 + 5x Solving 17 + 3x = -47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + 3x + -5x = -47 + 5x + -5x Combine like terms: 3x + -5x = -2x 17 + -2x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -2x = -47 + 0 17 + -2x = -47 Add '-17' to each side of the equation. 17 + -17 + -2x = -47 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -47 + -17 -2x = -47 + -17 Combine like terms: -47 + -17 = -64 -2x = -64 Divide each side by '-2'. x = 32 Simplifying x = 32
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