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Simplifying -5(x + -7) = -9x + 27 Reorder the terms: -5(-7 + x) = -9x + 27 (-7 * -5 + x * -5) = -9x + 27 (35 + -5x) = -9x + 27 Reorder the terms: 35 + -5x = 27 + -9x Solving 35 + -5x = 27 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 35 + -5x + 9x = 27 + -9x + 9x Combine like terms: -5x + 9x = 4x 35 + 4x = 27 + -9x + 9x Combine like terms: -9x + 9x = 0 35 + 4x = 27 + 0 35 + 4x = 27 Add '-35' to each side of the equation. 35 + -35 + 4x = 27 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 27 + -35 4x = 27 + -35 Combine like terms: 27 + -35 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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