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Simplifying 8x + 2 = 2 + -1(5x + -9) Reorder the terms: 2 + 8x = 2 + -1(5x + -9) Reorder the terms: 2 + 8x = 2 + -1(-9 + 5x) 2 + 8x = 2 + (-9 * -1 + 5x * -1) 2 + 8x = 2 + (9 + -5x) Combine like terms: 2 + 9 = 11 2 + 8x = 11 + -5x Solving 2 + 8x = 11 + -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 = 11 + -5x + 5x Combine like terms: 8x + 5x = 13x 2 + 13x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 13x = 11 + 0 2 + 13x = 11 Add '-2' to each side of the equation. 2 + -2 + 13x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 11 + -2 13x = 11 + -2 Combine like terms: 11 + -2 = 9 13x = 9 Divide each side by '13'. x = 0.6923076923 Simplifying x = 0.6923076923
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