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Simplifying 6x + 17 = 7x + 12 Reorder the terms: 17 + 6x = 7x + 12 Reorder the terms: 17 + 6x = 12 + 7x Solving 17 + 6x = 12 + 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 + 6x + -7x = 12 + 7x + -7x Combine like terms: 6x + -7x = -1x 17 + -1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -1x = 12 + 0 17 + -1x = 12 Add '-17' to each side of the equation. 17 + -17 + -1x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 12 + -17 -1x = 12 + -17 Combine like terms: 12 + -17 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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