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Simplifying -3(3x + 5) + 7x = -27 Reorder the terms: -3(5 + 3x) + 7x = -27 (5 * -3 + 3x * -3) + 7x = -27 (-15 + -9x) + 7x = -27 Combine like terms: -9x + 7x = -2x -15 + -2x = -27 Solving -15 + -2x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = -27 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -27 + 15 -2x = -27 + 15 Combine like terms: -27 + 15 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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