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Simplifying -3(3x + 1) = 3(x + 5) Reorder the terms: -3(1 + 3x) = 3(x + 5) (1 * -3 + 3x * -3) = 3(x + 5) (-3 + -9x) = 3(x + 5) Reorder the terms: -3 + -9x = 3(5 + x) -3 + -9x = (5 * 3 + x * 3) -3 + -9x = (15 + 3x) Solving -3 + -9x = 15 + 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. -3 + -9x + -3x = 15 + 3x + -3x Combine like terms: -9x + -3x = -12x -3 + -12x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -12x = 15 + 0 -3 + -12x = 15 Add '3' to each side of the equation. -3 + 3 + -12x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = 15 + 3 -12x = 15 + 3 Combine like terms: 15 + 3 = 18 -12x = 18 Divide each side by '-12'. x = -1.5 Simplifying x = -1.5
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