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Simplifying 5x + 8 + 3x + 17 = 9x + 7 Reorder the terms: 8 + 17 + 5x + 3x = 9x + 7 Combine like terms: 8 + 17 = 25 25 + 5x + 3x = 9x + 7 Combine like terms: 5x + 3x = 8x 25 + 8x = 9x + 7 Reorder the terms: 25 + 8x = 7 + 9x Solving 25 + 8x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 8x + -9x = 7 + 9x + -9x Combine like terms: 8x + -9x = -1x 25 + -1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + -1x = 7 + 0 25 + -1x = 7 Add '-25' to each side of the equation. 25 + -25 + -1x = 7 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 7 + -25 -1x = 7 + -25 Combine like terms: 7 + -25 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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