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Simplifying -27 = -7x + -5(-2x + 9) Reorder the terms: -27 = -7x + -5(9 + -2x) -27 = -7x + (9 * -5 + -2x * -5) -27 = -7x + (-45 + 10x) Reorder the terms: -27 = -45 + -7x + 10x Combine like terms: -7x + 10x = 3x -27 = -45 + 3x Solving -27 = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + -3x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -3x = -45 + 0 -27 + -3x = -45 Add '27' to each side of the equation. -27 + 27 + -3x = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = -45 + 27 -3x = -45 + 27 Combine like terms: -45 + 27 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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