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Simplifying 5x + 6(x + 9) = 5(x + -6) Reorder the terms: 5x + 6(9 + x) = 5(x + -6) 5x + (9 * 6 + x * 6) = 5(x + -6) 5x + (54 + 6x) = 5(x + -6) Reorder the terms: 54 + 5x + 6x = 5(x + -6) Combine like terms: 5x + 6x = 11x 54 + 11x = 5(x + -6) Reorder the terms: 54 + 11x = 5(-6 + x) 54 + 11x = (-6 * 5 + x * 5) 54 + 11x = (-30 + 5x) Solving 54 + 11x = -30 + 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 + 11x + -5x = -30 + 5x + -5x Combine like terms: 11x + -5x = 6x 54 + 6x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 6x = -30 + 0 54 + 6x = -30 Add '-54' to each side of the equation. 54 + -54 + 6x = -30 + -54 Combine like terms: 54 + -54 = 0 0 + 6x = -30 + -54 6x = -30 + -54 Combine like terms: -30 + -54 = -84 6x = -84 Divide each side by '6'. x = -14 Simplifying x = -14
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