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Simplifying 6(x + 9) = 5(x + -4) Reorder the terms: 6(9 + x) = 5(x + -4) (9 * 6 + x * 6) = 5(x + -4) (54 + 6x) = 5(x + -4) Reorder the terms: 54 + 6x = 5(-4 + x) 54 + 6x = (-4 * 5 + x * 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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