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Simplifying 8x + 6 = 6 + -1(6x + -9) Reorder the terms: 6 + 8x = 6 + -1(6x + -9) Reorder the terms: 6 + 8x = 6 + -1(-9 + 6x) 6 + 8x = 6 + (-9 * -1 + 6x * -1) 6 + 8x = 6 + (9 + -6x) Combine like terms: 6 + 9 = 15 6 + 8x = 15 + -6x Solving 6 + 8x = 15 + -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. 6 + 8x + 6x = 15 + -6x + 6x Combine like terms: 8x + 6x = 14x 6 + 14x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 14x = 15 + 0 6 + 14x = 15 Add '-6' to each side of the equation. 6 + -6 + 14x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 15 + -6 14x = 15 + -6 Combine like terms: 15 + -6 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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