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Simplifying -3(x + 5) = 3(3x + 15) Reorder the terms: -3(5 + x) = 3(3x + 15) (5 * -3 + x * -3) = 3(3x + 15) (-15 + -3x) = 3(3x + 15) Reorder the terms: -15 + -3x = 3(15 + 3x) -15 + -3x = (15 * 3 + 3x * 3) -15 + -3x = (45 + 9x) Solving -15 + -3x = 45 + 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. -15 + -3x + -9x = 45 + 9x + -9x Combine like terms: -3x + -9x = -12x -15 + -12x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -12x = 45 + 0 -15 + -12x = 45 Add '15' to each side of the equation. -15 + 15 + -12x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = 45 + 15 -12x = 45 + 15 Combine like terms: 45 + 15 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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