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Simplifying -3(-6x + -5) = -9 + -6x Reorder the terms: -3(-5 + -6x) = -9 + -6x (-5 * -3 + -6x * -3) = -9 + -6x (15 + 18x) = -9 + -6x Solving 15 + 18x = -9 + -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. 15 + 18x + 6x = -9 + -6x + 6x Combine like terms: 18x + 6x = 24x 15 + 24x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 24x = -9 + 0 15 + 24x = -9 Add '-15' to each side of the equation. 15 + -15 + 24x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 24x = -9 + -15 24x = -9 + -15 Combine like terms: -9 + -15 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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