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Simplifying 7x + 17 = 8x + 13 Reorder the terms: 17 + 7x = 8x + 13 Reorder the terms: 17 + 7x = 13 + 8x Solving 17 + 7x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17 + 7x + -8x = 13 + 8x + -8x Combine like terms: 7x + -8x = -1x 17 + -1x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -1x = 13 + 0 17 + -1x = 13 Add '-17' to each side of the equation. 17 + -17 + -1x = 13 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 13 + -17 -1x = 13 + -17 Combine like terms: 13 + -17 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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