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Simplifying 6(9 + x) = -5(4 + -1x) (9 * 6 + x * 6) = -5(4 + -1x) (54 + 6x) = -5(4 + -1x) 54 + 6x = (4 * -5 + -1x * -5) 54 + 6x = (-20 + 5x) Solving 54 + 6x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 54 + 6x + -5x = -20 + 5x + -5x Combine like terms: 6x + -5x = 1x 54 + 1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 1x = -20 + 0 54 + 1x = -20 Add '-54' to each side of the equation. 54 + -54 + 1x = -20 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = -20 + -54 1x = -20 + -54 Combine like terms: -20 + -54 = -74 1x = -74 Divide each side by '1'. x = -74 Simplifying x = -74
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