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Simplifying 7x + 3x + -4x + 11 = 7x + 17 + -4x Reorder the terms: 11 + 7x + 3x + -4x = 7x + 17 + -4x Combine like terms: 7x + 3x = 10x 11 + 10x + -4x = 7x + 17 + -4x Combine like terms: 10x + -4x = 6x 11 + 6x = 7x + 17 + -4x Reorder the terms: 11 + 6x = 17 + 7x + -4x Combine like terms: 7x + -4x = 3x 11 + 6x = 17 + 3x Solving 11 + 6x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 6x + -3x = 17 + 3x + -3x Combine like terms: 6x + -3x = 3x 11 + 3x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 3x = 17 + 0 11 + 3x = 17 Add '-11' to each side of the equation. 11 + -11 + 3x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 17 + -11 3x = 17 + -11 Combine like terms: 17 + -11 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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