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Simplifying 6x + 2 = -5x + 13 Reorder the terms: 2 + 6x = -5x + 13 Reorder the terms: 2 + 6x = 13 + -5x Solving 2 + 6x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 6x + 5x = 13 + -5x + 5x Combine like terms: 6x + 5x = 11x 2 + 11x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 11x = 13 + 0 2 + 11x = 13 Add '-2' to each side of the equation. 2 + -2 + 11x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 13 + -2 11x = 13 + -2 Combine like terms: 13 + -2 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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