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Simplifying 3x + 17 = 4x + 6 Reorder the terms: 17 + 3x = 4x + 6 Reorder the terms: 17 + 3x = 6 + 4x Solving 17 + 3x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 3x + -4x = 6 + 4x + -4x Combine like terms: 3x + -4x = -1x 17 + -1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -1x = 6 + 0 17 + -1x = 6 Add '-17' to each side of the equation. 17 + -17 + -1x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 6 + -17 -1x = 6 + -17 Combine like terms: 6 + -17 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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