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Simplifying 8x + 17 = 10x + 7 Reorder the terms: 17 + 8x = 10x + 7 Reorder the terms: 17 + 8x = 7 + 10x Solving 17 + 8x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 8x + -10x = 7 + 10x + -10x Combine like terms: 8x + -10x = -2x 17 + -2x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -2x = 7 + 0 17 + -2x = 7 Add '-17' to each side of the equation. 17 + -17 + -2x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 7 + -17 -2x = 7 + -17 Combine like terms: 7 + -17 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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