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Simplifying -5(x + -6) = -6(x + 9) Reorder the terms: -5(-6 + x) = -6(x + 9) (-6 * -5 + x * -5) = -6(x + 9) (30 + -5x) = -6(x + 9) Reorder the terms: 30 + -5x = -6(9 + x) 30 + -5x = (9 * -6 + x * -6) 30 + -5x = (-54 + -6x) Solving 30 + -5x = -54 + -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. 30 + -5x + 6x = -54 + -6x + 6x Combine like terms: -5x + 6x = 1x 30 + 1x = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + 1x = -54 + 0 30 + 1x = -54 Add '-30' to each side of the equation. 30 + -30 + 1x = -54 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = -54 + -30 1x = -54 + -30 Combine like terms: -54 + -30 = -84 1x = -84 Divide each side by '1'. x = -84 Simplifying x = -84
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