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Simplifying -5(x + 9) = 3x + 27 Reorder the terms: -5(9 + x) = 3x + 27 (9 * -5 + x * -5) = 3x + 27 (-45 + -5x) = 3x + 27 Reorder the terms: -45 + -5x = 27 + 3x Solving -45 + -5x = 27 + 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. -45 + -5x + -3x = 27 + 3x + -3x Combine like terms: -5x + -3x = -8x -45 + -8x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + -8x = 27 + 0 -45 + -8x = 27 Add '45' to each side of the equation. -45 + 45 + -8x = 27 + 45 Combine like terms: -45 + 45 = 0 0 + -8x = 27 + 45 -8x = 27 + 45 Combine like terms: 27 + 45 = 72 -8x = 72 Divide each side by '-8'. x = -9 Simplifying x = -9
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