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Simplifying -6(-3x + -5) = -6(-2x + -3) Reorder the terms: -6(-5 + -3x) = -6(-2x + -3) (-5 * -6 + -3x * -6) = -6(-2x + -3) (30 + 18x) = -6(-2x + -3) Reorder the terms: 30 + 18x = -6(-3 + -2x) 30 + 18x = (-3 * -6 + -2x * -6) 30 + 18x = (18 + 12x) Solving 30 + 18x = 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. 30 + 18x + -12x = 18 + 12x + -12x Combine like terms: 18x + -12x = 6x 30 + 6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + 6x = 18 + 0 30 + 6x = 18 Add '-30' to each side of the equation. 30 + -30 + 6x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 18 + -30 6x = 18 + -30 Combine like terms: 18 + -30 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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