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Simplifying 6x + 20 = 7x + 17 Reorder the terms: 20 + 6x = 7x + 17 Reorder the terms: 20 + 6x = 17 + 7x Solving 20 + 6x = 17 + 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. 20 + 6x + -7x = 17 + 7x + -7x Combine like terms: 6x + -7x = -1x 20 + -1x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -1x = 17 + 0 20 + -1x = 17 Add '-20' to each side of the equation. 20 + -20 + -1x = 17 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 17 + -20 -1x = 17 + -20 Combine like terms: 17 + -20 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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