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Simplifying 27 + -1(x + 9) = 5x + -6 Reorder the terms: 27 + -1(9 + x) = 5x + -6 27 + (9 * -1 + x * -1) = 5x + -6 27 + (-9 + -1x) = 5x + -6 Combine like terms: 27 + -9 = 18 18 + -1x = 5x + -6 Reorder the terms: 18 + -1x = -6 + 5x Solving 18 + -1x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -1x + -5x = -6 + 5x + -5x Combine like terms: -1x + -5x = -6x 18 + -6x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -6x = -6 + 0 18 + -6x = -6 Add '-18' to each side of the equation. 18 + -18 + -6x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -6 + -18 -6x = -6 + -18 Combine like terms: -6 + -18 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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