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Simplifying 8x + 2 = -5x + 6 Reorder the terms: 2 + 8x = -5x + 6 Reorder the terms: 2 + 8x = 6 + -5x Solving 2 + 8x = 6 + -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 + 8x + 5x = 6 + -5x + 5x Combine like terms: 8x + 5x = 13x 2 + 13x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 13x = 6 + 0 2 + 13x = 6 Add '-2' to each side of the equation. 2 + -2 + 13x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 6 + -2 13x = 6 + -2 Combine like terms: 6 + -2 = 4 13x = 4 Divide each side by '13'. x = 0.3076923077 Simplifying x = 0.3076923077
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