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Simplifying 8x + 2 = 4 + -1(6x + -9) Reorder the terms: 2 + 8x = 4 + -1(6x + -9) Reorder the terms: 2 + 8x = 4 + -1(-9 + 6x) 2 + 8x = 4 + (-9 * -1 + 6x * -1) 2 + 8x = 4 + (9 + -6x) Combine like terms: 4 + 9 = 13 2 + 8x = 13 + -6x Solving 2 + 8x = 13 + -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. 2 + 8x + 6x = 13 + -6x + 6x Combine like terms: 8x + 6x = 14x 2 + 14x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 14x = 13 + 0 2 + 14x = 13 Add '-2' to each side of the equation. 2 + -2 + 14x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 13 + -2 14x = 13 + -2 Combine like terms: 13 + -2 = 11 14x = 11 Divide each side by '14'. x = 0.7857142857 Simplifying x = 0.7857142857
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