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Simplifying 13 + -5x = x + -17 Reorder the terms: 13 + -5x = -17 + x Solving 13 + -5x = -17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -5x + -1x = -17 + x + -1x Combine like terms: -5x + -1x = -6x 13 + -6x = -17 + x + -1x Combine like terms: x + -1x = 0 13 + -6x = -17 + 0 13 + -6x = -17 Add '-13' to each side of the equation. 13 + -13 + -6x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -17 + -13 -6x = -17 + -13 Combine like terms: -17 + -13 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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