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Simplifying 7x + 10 = 6x + 17 Reorder the terms: 10 + 7x = 6x + 17 Reorder the terms: 10 + 7x = 17 + 6x Solving 10 + 7x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 7x + -6x = 17 + 6x + -6x Combine like terms: 7x + -6x = 1x 10 + 1x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 1x = 17 + 0 10 + 1x = 17 Add '-10' to each side of the equation. 10 + -10 + 1x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 17 + -10 1x = 17 + -10 Combine like terms: 17 + -10 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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