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Simplifying 6 + -1(6x + 9) = 15 + -8x Reorder the terms: 6 + -1(9 + 6x) = 15 + -8x 6 + (9 * -1 + 6x * -1) = 15 + -8x 6 + (-9 + -6x) = 15 + -8x Combine like terms: 6 + -9 = -3 -3 + -6x = 15 + -8x Solving -3 + -6x = 15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + -6x + 8x = 15 + -8x + 8x Combine like terms: -6x + 8x = 2x -3 + 2x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 2x = 15 + 0 -3 + 2x = 15 Add '3' to each side of the equation. -3 + 3 + 2x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 15 + 3 2x = 15 + 3 Combine like terms: 15 + 3 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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