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Simplifying 27 + -1(x + 9) = 7x + -6 Reorder the terms: 27 + -1(9 + x) = 7x + -6 27 + (9 * -1 + x * -1) = 7x + -6 27 + (-9 + -1x) = 7x + -6 Combine like terms: 27 + -9 = 18 18 + -1x = 7x + -6 Reorder the terms: 18 + -1x = -6 + 7x Solving 18 + -1x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + -1x + -7x = -6 + 7x + -7x Combine like terms: -1x + -7x = -8x 18 + -8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -8x = -6 + 0 18 + -8x = -6 Add '-18' to each side of the equation. 18 + -18 + -8x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -6 + -18 -8x = -6 + -18 Combine like terms: -6 + -18 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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