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Simplifying 3x + 17 + 5x = 7x + 10 Reorder the terms: 17 + 3x + 5x = 7x + 10 Combine like terms: 3x + 5x = 8x 17 + 8x = 7x + 10 Reorder the terms: 17 + 8x = 10 + 7x Solving 17 + 8x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 8x + -7x = 10 + 7x + -7x Combine like terms: 8x + -7x = 1x 17 + 1x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + 1x = 10 + 0 17 + 1x = 10 Add '-17' to each side of the equation. 17 + -17 + 1x = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 10 + -17 1x = 10 + -17 Combine like terms: 10 + -17 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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