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Simplifying -2(-27 + -3x) = -3(2x + -10) (-27 * -2 + -3x * -2) = -3(2x + -10) (54 + 6x) = -3(2x + -10) Reorder the terms: 54 + 6x = -3(-10 + 2x) 54 + 6x = (-10 * -3 + 2x * -3) 54 + 6x = (30 + -6x) Solving 54 + 6x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 54 + 6x + 6x = 30 + -6x + 6x Combine like terms: 6x + 6x = 12x 54 + 12x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 54 + 12x = 30 + 0 54 + 12x = 30 Add '-54' to each side of the equation. 54 + -54 + 12x = 30 + -54 Combine like terms: 54 + -54 = 0 0 + 12x = 30 + -54 12x = 30 + -54 Combine like terms: 30 + -54 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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