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Simplifying 9x + 6 = -1(x + 9) Reorder the terms: 6 + 9x = -1(x + 9) Reorder the terms: 6 + 9x = -1(9 + x) 6 + 9x = (9 * -1 + x * -1) 6 + 9x = (-9 + -1x) Solving 6 + 9x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 9x + x = -9 + -1x + x Combine like terms: 9x + x = 10x 6 + 10x = -9 + -1x + x Combine like terms: -1x + x = 0 6 + 10x = -9 + 0 6 + 10x = -9 Add '-6' to each side of the equation. 6 + -6 + 10x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -9 + -6 10x = -9 + -6 Combine like terms: -9 + -6 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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