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Simplifying -3(-5x + -3) = 6(2x + -3) Reorder the terms: -3(-3 + -5x) = 6(2x + -3) (-3 * -3 + -5x * -3) = 6(2x + -3) (9 + 15x) = 6(2x + -3) Reorder the terms: 9 + 15x = 6(-3 + 2x) 9 + 15x = (-3 * 6 + 2x * 6) 9 + 15x = (-18 + 12x) Solving 9 + 15x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 15x + -12x = -18 + 12x + -12x Combine like terms: 15x + -12x = 3x 9 + 3x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + 3x = -18 + 0 9 + 3x = -18 Add '-9' to each side of the equation. 9 + -9 + 3x = -18 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -18 + -9 3x = -18 + -9 Combine like terms: -18 + -9 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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