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Simplifying 5x + 1 = -6x + 1 Reorder the terms: 1 + 5x = -6x + 1 Reorder the terms: 1 + 5x = 1 + -6x Add '-1' to each side of the equation. 1 + -1 + 5x = 1 + -1 + -6x Combine like terms: 1 + -1 = 0 0 + 5x = 1 + -1 + -6x 5x = 1 + -1 + -6x Combine like terms: 1 + -1 = 0 5x = 0 + -6x 5x = -6x Solving 5x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5x + 6x = -6x + 6x Combine like terms: 5x + 6x = 11x 11x = -6x + 6x Combine like terms: -6x + 6x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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