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Simplifying 5x + 17 = 13x + -47 Reorder the terms: 17 + 5x = 13x + -47 Reorder the terms: 17 + 5x = -47 + 13x Solving 17 + 5x = -47 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 5x + -13x = -47 + 13x + -13x Combine like terms: 5x + -13x = -8x 17 + -8x = -47 + 13x + -13x Combine like terms: 13x + -13x = 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 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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