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Simplifying 11x + 17x + -6 + 1 = -7x + 1 + -6 Reorder the terms: -6 + 1 + 11x + 17x = -7x + 1 + -6 Combine like terms: -6 + 1 = -5 -5 + 11x + 17x = -7x + 1 + -6 Combine like terms: 11x + 17x = 28x -5 + 28x = -7x + 1 + -6 Reorder the terms: -5 + 28x = 1 + -6 + -7x Combine like terms: 1 + -6 = -5 -5 + 28x = -5 + -7x Add '5' to each side of the equation. -5 + 5 + 28x = -5 + 5 + -7x Combine like terms: -5 + 5 = 0 0 + 28x = -5 + 5 + -7x 28x = -5 + 5 + -7x Combine like terms: -5 + 5 = 0 28x = 0 + -7x 28x = -7x Solving 28x = -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. 28x + 7x = -7x + 7x Combine like terms: 28x + 7x = 35x 35x = -7x + 7x Combine like terms: -7x + 7x = 0 35x = 0 Divide each side by '35'. x = 0 Simplifying x = 0
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